56935872 has 168 divisors, whose sum is σ = 193787776. Its totient is φ = 16236288.

The previous prime is 56935831. The next prime is 56935889. The reversal of 56935872 is 27853965.

It is a happy number.

56935872 is a `hidden beast` number, since 5 + 69 + 3 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

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, 108603 + ... + 109125.

Almost surely, 2^56935872 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 56935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96893888).

56935872 is an abundant number, since it is smaller than the sum of its proper divisors (136851904).

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

56935872 is an equidigital number, since it uses as much as digits as its factorization.

56935872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 56935872 is about 7545.5862595295. The cubic root of 56935872 is about 384.7057334250.

The spelling of 56935872 in words is "fifty-six million, nine hundred thirty-five thousand, eight hundred seventy-two".