22972 has 6 divisors (see below), whose sum is σ = 40208. Its totient is φ = 11484.

The previous prime is 22963. The next prime is 22973. The reversal of 22972 is 27922.

It is a d-powerful number, because it can be written as 2² + 2⁴ + 9⁴ + 7 + 2¹⁴ .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2868 + ... + 2875.

2²²⁹⁷² is an apocalyptic number.

It is an amenable number.

22972 is a deficient number, since it is larger than the sum of its proper divisors (17236).

22972 is a wasteful number, since it uses less digits than its factorization.

22972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5745 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 22972 is about 151.5651675023. The cubic root of 22972 is about 28.4271247825.

Subtracting 22972 from its reverse (27922), we obtain a triangular number (4950 = T₉₉).

The spelling of 22972 in words is "twenty-two thousand, nine hundred seventy-two".