56972304 has 135 divisors (see below), whose sum is σ = 174075447. Its totient is φ = 17390592.

The previous prime is 56972281. The next prime is 56972323. The reversal of 56972304 is 40327965.

The square root of 56972304 is 7548.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26501904 + 30470400 = 5148^2 + 5520^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1539774 + ... + 1539810.

Almost surely, 2^56972304 is an apocalyptic number.

56972304 is the 7548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56972304

56972304 is an abundant number, since it is smaller than the sum of its proper divisors (117103143).

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

56972304 is a wasteful number, since it uses less digits than its factorization.

56972304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 56972304 is about 384.7877708145.

Multiplying 56972304 by its sum of digits (36), we get a square (2051002944 = 45288²).

56972304 divided by its sum of digits (36) gives a square (1582564 = 1258²).

It can be divided in two parts, 5697 and 2304, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 56972304 in words is "fifty-six million, nine hundred seventy-two thousand, three hundred four".