55972 has 12 divisors (see below), whose sum is σ = 112000. Its totient is φ = 23976.

The previous prime is 55967. The next prime is 55987. The reversal of 55972 is 27955.

55972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

55972 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1999 = 55972 / (5 + 5 + 9 + 7 + 2).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 55972.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 972 + ... + 1027.

2⁵⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

55972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56000).

55972 is a wasteful number, since it uses less digits than its factorization.

55972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its digits is 3150, while the sum is 28.

The square root of 55972 is about 236.5840231292. The cubic root of 55972 is about 38.2522461551.

The spelling of 55972 in words is "fifty-five thousand, nine hundred seventy-two".