56952720 has 400 divisors, whose sum is σ = 233342208. Its totient is φ = 12718080.

The previous prime is 56952719. The next prime is 56952739. The reversal of 56952720 is 2725965.

It is a super-2 number, since 2×56952720² = 6487224630796800, which contains 22 as substring.

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

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1211737 + ... + 1211783.

Almost surely, 2^56952720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56952720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116671104).

56952720 is an abundant number, since it is smaller than the sum of its proper divisors (176389488).

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

56952720 is a wasteful number, since it uses less digits than its factorization.

56952720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56952720 is about 7546.7025911984. The cubic root of 56952720 is about 384.7436760129.

The spelling of 56952720 in words is "fifty-six million, nine hundred fifty-two thousand, seven hundred twenty".