56986272 has 144 divisors (see below), whose sum is σ = 193415040. Its totient is φ = 15561216.

The previous prime is 56986229. The next prime is 56986283. The reversal of 56986272 is 27268965.

56986272 is a `hidden beast` number, since 569 + 86 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45754 + ... + 46982.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^56986272 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 56986272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707520).

56986272 is an abundant number, since it is smaller than the sum of its proper divisors (136428768).

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

56986272 is a wasteful number, since it uses less digits than its factorization.

56986272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 56986272 is about 7548.9252215133. The cubic root of 56986272 is about 384.8192146098.

The spelling of 56986272 in words is "fifty-six million, nine hundred eighty-six thousand, two hundred seventy-two".