22672872 has 96 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 7418304.

The previous prime is 22672843. The next prime is 22672879. The reversal of 22672872 is 27827622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22672879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207954 + ... + 208062.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 2^22672872 is an apocalyptic number.

22672872 is the 3888-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22672872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432400).

22672872 is an abundant number, since it is smaller than the sum of its proper divisors (42191928).

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

22672872 is a wasteful number, since it uses less digits than its factorization.

22672872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 22672872 is about 4761.6039314500. The cubic root of 22672872 is about 283.0319816354.

The spelling of 22672872 in words is "twenty-two million, six hundred seventy-two thousand, eight hundred seventy-two".