56572672 has 72 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 25681920.

The previous prime is 56572669. The next prime is 56572673. The reversal of 56572672 is 27627565.

56572672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56572673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296097 + ... + 296287.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^56572672 is an apocalyptic number.

56572672 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 56572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

56572672 is an abundant number, since it is smaller than the sum of its proper divisors (67048448).

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

56572672 is a wasteful number, since it uses less digits than its factorization.

56572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The square root of 56572672 is about 7521.4807052867. The cubic root of 56572672 is about 383.8859615071.

It can be divided in two parts, 565 and 72672, that added together give a palindrome (73237).

The spelling of 56572672 in words is "fifty-six million, five hundred seventy-two thousand, six hundred seventy-two".