56538272 has 48 divisors (see below), whose sum is σ = 128786112. Its totient is φ = 23930880.

The previous prime is 56538269. The next prime is 56538323. The reversal of 56538272 is 27283565.

56538272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 17072 + ... + 20112.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^56538272 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 56538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

56538272 is an abundant number, since it is smaller than the sum of its proper divisors (72247840).

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

56538272 is a wasteful number, since it uses less digits than its factorization.

56538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3133 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 56538272 is about 7519.1935737817. The cubic root of 56538272 is about 383.8081362123.

The spelling of 56538272 in words is "fifty-six million, five hundred thirty-eight thousand, two hundred seventy-two".