22712 has 16 divisors (see below), whose sum is σ = 45360. Its totient is φ = 10624.

The previous prime is 22709. The next prime is 22717. The reversal of 22712 is 21722.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22712.

It is not an unprimeable number, because it can be changed into a prime (22717) 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, 53 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2²²⁷¹² is an apocalyptic number.

It is an amenable number.

22712 is a deficient number, since it is larger than the sum of its proper divisors (22648).

22712 is a wasteful number, since it uses less digits than its factorization.

22712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 56, while the sum is 14.

The square root of 22712 is about 150.7050098703. The cubic root of 22712 is about 28.3194703424.

Subtracting from 22712 its reverse (21722), we obtain a triangular number (990 = T₄₄).

The spelling of 22712 in words is "twenty-two thousand, seven hundred twelve", and thus it is an iban number.