56772600 has 48 divisors (see below), whose sum is σ = 175996920. Its totient is φ = 15139200.

The previous prime is 56772587. The next prime is 56772601. The reversal of 56772600 is 627765.

It is a super-2 number, since 2×56772600² = 6446256221520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56772601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46711 + ... + 47910.

Almost surely, 2^56772600 is an apocalyptic number.

56772600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56772600 is an abundant number, since it is smaller than the sum of its proper divisors (119224320).

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

56772600 is a wasteful number, since it uses less digits than its factorization.

56772600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94640 (or 94631 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 56772600 is about 7534.7594520330. The cubic root of 56772600 is about 384.3376479006.

The spelling of 56772600 in words is "fifty-six million, seven hundred seventy-two thousand, six hundred".