Leroy Sane's brilliant free-kick opened the floodgates and Julian Nagelsmann's side did not look back as it cruised to a seventh straight win in all competitions.
Vasilios Lampropoulos's own goal capped off a torrid first half for Bochum, with Joshua Kimmich and Serge Gnabry having previously netted.
Another record fell to Robert Lewandowski in the second half, as he became the first player in Bundesliga history to net in 13 consecutive home matches, and Kimmich helped himself to a second before Eric Maxim Choupo-Moting got in on the act to complete the scoring.
The signs were ominous from the first whistle and the only surprise was it taking until the 17th minute for Bayern to hit the front.
Sane made the breakthrough, curling a superb 25-yard free-kick beyond the wall and into the left-hand corner.
Gnabry was denied a wonderful goal by a clearance off the line soon after, though Kimmich swiftly made it 2-0 as his shot on the turn deflected over the helpless Manuel Riemann.
It was 3-0 with just more than half an hour played, Gnabry sliding a crisp finish across Riemann, while Armel Bella Kotchap was fortunate not to slice into his own net.
Lampropoulos was not so lucky, panicking under pressure from Lewandowski and skewing into Bochum's goal just before half-time.
Having just failed to turn in a close-range rebound, Lewandowski had no such trouble moments later when he nudged home from a yard out after Sane's cutback was diverted into his path.
Bochum substitute Silvere Ganvoula thought he had snatched a consolation, only for the offside flag to cut short his celebrations. Bayern went down the other end and added a sixth, Kimmich's touch from Leon Goretzka's header clipping in off the upright.
There was time for another, substitute Choupo-Moting converting at the third attempt after a fine double save from Riemann to cap off an emphatic win, with Thomas Muller having a late goal disallowed by the video assistant referee.
Another promoted side, Greuther Furth, comes next for Bayern, while Bochum will host Stuttgart.