22872 has 16 divisors (see below), whose sum is σ = 57240. Its totient is φ = 7616.

The previous prime is 22871. The next prime is 22877. The reversal of 22872 is 27822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 453 + ... + 500.

2²²⁸⁷² is an apocalyptic number.

It is an amenable number.

22872 is an abundant number, since it is smaller than the sum of its proper divisors (34368).

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 (28620).

22872 is a wasteful number, since it uses less digits than its factorization.

22872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 22872 is about 151.2349166033. The cubic root of 22872 is about 28.3858158357.

Subtracting 22872 from its reverse (27822), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 228 and 72, that added together give a triangular number (300 = T₂₄).

The spelling of 22872 in words is "twenty-two thousand, eight hundred seventy-two".