Western Kentucky (13-11, 7-6 Sun Belt) went on a 16-6 run over the final 4 minutes to break open a tight contest.
Fant also had eight rebounds and three blocked shots. Brandon Harris scored 10 points, including three 3-pointers.
North Texas (8-17, 3-11) had four players combine to score 58 of its points.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.