22572 has 48 divisors (see below), whose sum is σ = 67200. Its totient is φ = 6480.

The previous prime is 22571. The next prime is 22573. The reversal of 22572 is 27522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22571) and next prime (22573).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (280) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (22571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (1400).

2²²⁵⁷² is an apocalyptic number.

22572 is a gapful number since it is divisible by the number (22) 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 22572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600).

22572 is an abundant number, since it is smaller than the sum of its proper divisors (44628).

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

22572 is a wasteful number, since it uses less digits than its factorization.

22572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 35 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 22572 is about 150.2398083066. The cubic root of 22572 is about 28.2611619556.

Subtracting 22572 from its reverse (27522), we obtain a triangular number (4950 = T₉₉).

The spelling of 22572 in words is "twenty-two thousand, five hundred seventy-two".