56681872 has 40 divisors (see below), whose sum is σ = 119921144. Its totient is φ = 25795584.

The previous prime is 56681861. The next prime is 56681879. The reversal of 56681872 is 27818665.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 53056656 = 1904^2 + 7284^2 .

It is a super-2 number, since 2×56681872² = 6425669226848768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56681879) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13318 + ... + 17050.

Almost surely, 2^56681872 is an apocalyptic number.

56681872 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 56681872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59960572).

56681872 is an abundant number, since it is smaller than the sum of its proper divisors (63239272).

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

56681872 is a wasteful number, since it uses less digits than its factorization.

56681872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3821 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 56681872 is about 7528.7364145652. The cubic root of 56681872 is about 384.1328027351.

The spelling of 56681872 in words is "fifty-six million, six hundred eighty-one thousand, eight hundred seventy-two".