56752400 has 60 divisors (see below), whose sum is σ = 138972132. Its totient is φ = 22264320.

The previous prime is 56752393. The next prime is 56752427. The reversal of 56752400 is 425765.

It can be written as a sum of positive squares in 6 ways, for example, as 6739216 + 50013184 = 2596^2 + 7072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19862 + ... + 22538.

Almost surely, 2^56752400 is an apocalyptic number.

56752400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69486066).

56752400 is an abundant number, since it is smaller than the sum of its proper divisors (82219732).

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

56752400 is a wasteful number, since it uses less digits than its factorization.

56752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 56752400 is about 7533.4188785703. The cubic root of 56752400 is about 384.2920593511.

The spelling of 56752400 in words is "fifty-six million, seven hundred fifty-two thousand, four hundred".