51872 has 12 divisors (see below), whose sum is σ = 102186. Its totient is φ = 25920.

The previous prime is 51871. The next prime is 51893. The reversal of 51872 is 27815.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 13456 = 196^2 + 116^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 779 + ... + 842.

2⁵¹⁸⁷² is an apocalyptic number.

It is an amenable number.

51872 is a deficient number, since it is larger than the sum of its proper divisors (50314).

51872 is a wasteful number, since it uses less digits than its factorization.

51872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 51872 is about 227.7542535278. The cubic root of 51872 is about 37.2944606724.

The spelling of 51872 in words is "fifty-one thousand, eight hundred seventy-two".