Multipling 75264 by its sum of digits (24), we get a square (1806336 = 13442).
75264 divided by its sum of digits (24) gives a square (3136 = 562).
It is a happy number.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75264.
275264 is an apocalyptic number.
75264 is the 147-th nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 75264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116622).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
75264 is an equidigital number, since it uses as much as digits as its factorization.
75264 is an evil number, because the sum of its binary digits is even.
The square root of 75264 is about 274.3428511917. The cubic root of 75264 is about 42.2210567032.
The spelling of 75264 in words is "seventy-five thousand, two hundred sixty-four".