The Spartans' margin of victory was their largest in the series since Feb. 12, 2000, when it won the first of two regular-season matchups and went on to defeat the Badgers in the Big Ten Tournament and Final Four.
"That win says a lot," Green said. "Wisconsin's not an easy team to play."
The Badgers (19-7, 8-5) had won seven of their last eight, including their previous four road games, after opening the Big Ten season with three straight losses.
Appling's three-point play with 5:24 left in the first half capped a 14-0 run that gave Michigan State a 22-12 lead.
The Spartans led, 31-19, at halftime and built a 53-33 lead midway through the second half. This was their sixth win over a ranked team this season, most in Division I.
Wisconsin's Jordan Taylor missed 10 of his 13 shots and was held to 13 points.
Michigan State, which snapped the Buckeyes' 39-game home winning streak Saturday night, improved to 16-0 at the Breslin Center.
The home of the Spartans was so loud late in the first half that official Mike Sanzere told ranting Wisconsin coach Bo Ryan he couldn't hear him.
"The crowd was awesome," Spartans coach Tom Izzo said. "I told our players at halftime, 'You're bringing this crowd back like old times.' "
Ryan was often livid in the first half, screaming about calls that were made or that he thought were missed, but was much more subdued on the sideline after halftime as the Badgers headed toward a familiar fate on the road against a highly ranked team in the Big Ten.
Wisconsin has lost 40 straight games as visitors in the conference against top-10 teams since winning at No. 4 Ohio State on Nov. 26, 1980, according to STATS, LLC.
Taylor, who averaged 29 points in his previous two games against Michigan State, got his first field goal with 5 seconds left in the first half after missing his first six shots.
Ryan Evans scored 17 points for Wisconsin and Jared Berggren had 10.
Berggren spilled blood - literally - in the traditionally physical matchup and went to the bench to have his cut covered by several bandages. The game was later stopped briefly to clean up the court.
Michigan State's bruising center, Derrick Nix, had 12 points and a three-point play that pushed the lead to 20 points with 9:46 left in the game.
The Badgers pulled within nine points with 3:16 left, but the rout was restored and Tom Izzo put his seldom-used reserves in the game during the final minute.
In other games *
At Duke, Seth Curry scored 26 points as the No. 5 Blue Devils (22-4, 9-2 Atlantic Coast Conference) rallied to defeat North Carolina State, 78-73.
* At Florida State, Michael Snaer's three-pointer with 2.6 seconds left boosted the No. 20 Seminoles to a 48-47 victory over Virginia Tech. Ian Miller led Florida State (18-7, 9-2 Atlantic Coast Conference) with 11 points.