51972 has 24 divisors (see below), whose sum is σ = 124992. Its totient is φ = 16800.

The previous prime is 51971. The next prime is 51973. The reversal of 51972 is 27915.

It is an interprime number because it is at equal distance from previous prime (51971) and next prime (51973).

It is not an unprimeable number, because it can be changed into a prime (51971) 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, 697 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁵¹⁹⁷² is an apocalyptic number.

It is an amenable number.

51972 is an abundant number, since it is smaller than the sum of its proper divisors (73020).

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 (62496).

51972 is a wasteful number, since it uses less digits than its factorization.

51972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 51972 is about 227.9736826917. The cubic root of 51972 is about 37.3184109864.

The spelling of 51972 in words is "fifty-one thousand, nine hundred seventy-two".