Some of my tires call for 80 psi, specifically when hauling heavy loads. Even my 5hp 60gal compressor takes a little while.
As for tire pressure I've been warned that for a, say, 8000-10000 lb load on a heavy trailer it is important for the pressure not be too low and especially not higher than the max specified, since, yes, the pressure increases as the tire gets hot. Don't want a blowout on the highway with a heavy load! Been there, done that. Took hours to change to the spare.