Jamar Samuels had 16 points and Curtis Kelly added 15 for the Wildcats (8-1), who had 10 players see at least 12 minutes. But Samuels and Kelly were a combined 9 of 26 from the field, the Wildcats made just 23 of 40 free throws and committed 23 fouls.
Marquiz Baker scored 17 points for the Braves (0-7) while Kendrick McDonald added 12.
The Wildcats played almost the entire second half with a lead of more than 20 points after Rodney McGruder's 3-pointer made it 52-30 with 17:35 to play.
Pullen, a preseason All-American, was 19 of 61 from the field and 10 of 35 beyond the 3-point line in his previous five games against Division I teams.