22672 has 20 divisors (see below), whose sum is σ = 47740. Its totient is φ = 10368.

The previous prime is 22669. The next prime is 22679. The reversal of 22672 is 27622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 13456 = 96^2 + 116^2 .

It is a nialpdrome in base 8 and base 13.

It is not an unprimeable number, because it can be changed into a prime (22679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 154 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (2387).

2²²⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870).

22672 is an abundant number, since it is smaller than the sum of its proper divisors (25068).

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

22672 is a wasteful number, since it uses less digits than its factorization.

22672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 22672 is about 150.5722417977. The cubic root of 22672 is about 28.3028353113.

Subtracting 22672 from its reverse (27622), we obtain a triangular number (4950 = T₉₉).

The spelling of 22672 in words is "twenty-two thousand, six hundred seventy-two".