56072952 has 128 divisors (see below), whose sum is σ = 176736000. Its totient is φ = 16329600.

The previous prime is 56072941. The next prime is 56072977. The reversal of 56072952 is 25927065.

56072952 is a `hidden beast` number, since 560 + 7 + 2 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52827 + ... + 53877.

It is an arithmetic number, because the mean of its divisors is an integer number (1380750).

Almost surely, 2^56072952 is an apocalyptic number.

56072952 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 56072952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88368000).

56072952 is an abundant number, since it is smaller than the sum of its proper divisors (120663048).

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

56072952 is a wasteful number, since it uses less digits than its factorization.

56072952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56072952 is about 7488.1874976526. The cubic root of 56072952 is about 382.7522979838.

The spelling of 56072952 in words is "fifty-six million, seventy-two thousand, nine hundred fifty-two".