Fullah scored six points and posted a block during a key 16-3 first-half run that turned a 5-4 deficit into a 21-7 advantage.
Charleston Southern (14-9, 9-3 Big South Conference) took its largest lead of the game, 58-33, on a Cedrick Bowen dunk with 13:20 left to play.
Joshua Clyburn tallied 15 points and eight rebounds, Khalid Mutakabbir added 11 points and Eric Washington chipped in 10 for Presbyterian (7-20, 4-9), which got just seven points off the bench. The Buccaneers' bench contributed 29 points in the win, led by Bowen's nine.
Charleston Southern outshot Presbyterian 45 percent (27 of 60) to 37 percent (20 of 53) and collected a 36-33 rebounding edge. The Buccaneers forced 13 turnovers, on the strength of 10 steals, and scored 14 points off those errors.
Reserve center Akolda Manyang has been charged with felony aggravated assault after being accused of punching a man in the face without provocation.
Should the 76ers take Ben Simmons No. 1? What if they get the Lakers' pick, too? And how does the rest of the top 10 shake out? Our Insiders run their latest mock draft, with Philly on the clock.
ESPN college basketball reporter Andy Katz discusses the need for the Pac-12 putting in place rules on that would prohibit storming the court after a win.