math_fact: 572 is the smallest number which has equal numbers of every digit in bases 2 and 3.
trivia: 572 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
historical_date: July 25th is the day in 315 that the Arch of Constantine is completed near the Colosseum at Rome to commemorate Constantine's victory over Maxentius at the Milvian Bridge.