72795024 has 105 divisors (see below), whose sum is σ = 214174443. Its totient is φ = 23957856.

The previous prime is 72795013. The next prime is 72795059. The reversal of 72795024 is 42059727.

The square root of 72795024 is 8532.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72795024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 921417 + ... + 921495.

Almost surely, 2^72795024 is an apocalyptic number.

72795024 is the 8532-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72795024

72795024 is an abundant number, since it is smaller than the sum of its proper divisors (141379419).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72795024 is an frugal number, since it uses more digits than its factorization.

72795024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The cubic root of 72795024 is about 417.5423820625.

Multiplying 72795024 by its sum of digits (36), we get a square (2620620864 = 51192²).

72795024 divided by its sum of digits (36) gives a square (2022084 = 1422²).

The spelling of 72795024 in words is "seventy-two million, seven hundred ninety-five thousand, twenty-four".