Fatto matematico: 5767 is the product of two consecutive primes.
Trivia: 5767 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Data storica: October 15th is the day in 1783 that the Montgolfier brothers' hot air balloon marks the first human ascent, by Jean-François Pilâtre de Rozier, (tethered balloon).