56388072 has 32 divisors (see below), whose sum is σ = 151814880. Its totient is φ = 17350080.

The previous prime is 56388041. The next prime is 56388077. The reversal of 56388072 is 27088365.

It is a super-2 number, since 2×56388072² = 6359229327754368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56388072.

It is not an unprimeable number, because it can be changed into a prime (56388077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90054 + ... + 90677.

It is an arithmetic number, because the mean of its divisors is an integer number (4744215).

Almost surely, 2^56388072 is an apocalyptic number.

56388072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56388072 is an abundant number, since it is smaller than the sum of its proper divisors (95426808).

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

56388072 is a wasteful number, since it uses less digits than its factorization.

56388072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180753 (or 180749 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 56388072 is about 7509.1991583657. The cubic root of 56388072 is about 383.4679589315.

The spelling of 56388072 in words is "fifty-six million, three hundred eighty-eight thousand, seventy-two".