56755972 has 48 divisors (see below), whose sum is σ = 125258112. Its totient is φ = 21899520.

The previous prime is 56755957. The next prime is 56755991. The reversal of 56755972 is 27955765.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13023 + ... + 16825.

It is an arithmetic number, because the mean of its divisors is an integer number (2609544).

Almost surely, 2^56755972 is an apocalyptic number.

56755972 is a gapful number since it is divisible by the number (52) 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 56755972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62629056).

56755972 is an abundant number, since it is smaller than the sum of its proper divisors (68502140).

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

56755972 is a wasteful number, since it uses less digits than its factorization.

56755972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3866 counting only the distinct ones).

The product of its digits is 661500, while the sum is 46.

The square root of 56755972 is about 7533.6559517939. The cubic root of 56755972 is about 384.3001216383.

The spelling of 56755972 in words is "fifty-six million, seven hundred fifty-five thousand, nine hundred seventy-two".