56135872 has 56 divisors (see below), whose sum is σ = 121259600. Its totient is φ = 25629696.

The previous prime is 56135869. The next prime is 56135873. The reversal of 56135872 is 27853165.

It is a super-2 number, since 2×56135872² = 6302472250400768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56135873) 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, 90379 + ... + 90997.

It is an arithmetic number, because the mean of its divisors is an integer number (2165350).

Almost surely, 2^56135872 is an apocalyptic number.

56135872 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 56135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60629800).

56135872 is an abundant number, since it is smaller than the sum of its proper divisors (65123728).

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

56135872 is a wasteful number, since it uses less digits than its factorization.

56135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 743 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 56135872 is about 7492.3876034279. The cubic root of 56135872 is about 382.8954078166.

The spelling of 56135872 in words is "fifty-six million, one hundred thirty-five thousand, eight hundred seventy-two".