The Wildcats (18-1, 4-0 Southeastern Conference) won their 10th straight overall and extended the nation's longest home winning streak to 46, including 45 straight at Rupp Arena.
The Wildcats jumped on the Razorbacks (13-5, 2-2) by taking a 10-2 lead and extending it to as many as 20 before halftime.
Davis, who had 14 rebounds, blocked his 84th shot with just under 5 minutes left in the first half when he turned away freshman B.J. Young's layup to set the record previously held by Melvin Turpin and matched by Andre Riddick.
Doron Lamb scored 14 points, Terrence Jones 13, Darius Miller 11 and Michael Kidd-Gilchrist 10 for Kentucky.
Mardracus Wade had 12 points for Arkansas, which hasn't won in four road games this season.
In Ann Arbor, Michigan, Stu Douglass made a layup with 36.5 seconds remaining for the lead and Michigan held on through a wild final sequence.
On Michigan State's last possession, Keith Appling drove to the basket but had his shot blocked by Jordan Morgan. Brandon Wood of the Spartans came up with the ball, and Draymond Green was able to get another shot off from near the free throw line, but it missed.
Freshman Trey Burke scored 20 points for Michigan. He rebounded a miss by Appling in the final minute and turned it into a transition chance, eventually passing to Douglass for the winning layup.
Michigan (15-4, 5-2 Big Ten) has won three straight over Michigan State (15-4, 4-2).
Derrick Nix led Michigan State with 13 points.
In Rosemont, Jason Clark scored a career-high 31 points and Georgetown dominated the rebounding.
The Hoyas (15-3, 5-2 Big East) outrebounded DePaul 47-25 and consistently worked inside for second shots. Henry Sims added 16 points and Otto Porter had 15 rebounds for Georgetown.
Clark made 11 of 14 shots from the field, including 5 of 7 from behind the 3-point line.
Cleveland Melvin scored 19 points and Moses Morgan had 17, including five 3-pointers, for the Blue Demons (10-8, 1-5), who lost their fourth straight.
Morgan made two 3-pointers and Melvin had a jumper in an 8-0 run that made it a two-point game with 14 minutes to go. Clark had a driving reverse layup, Hollis Thompson scored on a follow and Clark made a 3-pointer in a 12-2 run for a 60-48 lead.
The Hoyas have won 11 straight against DePaul and lead the series 20-6
