22966272 has 156 divisors (see below), whose sum is σ = 76667760. Its totient is φ = 6488064.

The previous prime is 22966267. The next prime is 22966277. The reversal of 22966272 is 27266922.

22966272 is a `hidden beast` number, since 2 + 29 + 6 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22966267) and next prime (22966277).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (36288) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22966277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258004 + ... + 258092.

It is an arithmetic number, because the mean of its divisors is an integer number (491460).

Almost surely, 2^22966272 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 22966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38333880).

22966272 is an abundant number, since it is smaller than the sum of its proper divisors (53701488).

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

22966272 is an equidigital number, since it uses as much as digits as its factorization.

22966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 22966272 is about 4792.3138461499. The cubic root of 22966272 is about 284.2476184641.

The spelling of 22966272 in words is "twenty-two million, nine hundred sixty-six thousand, two hundred seventy-two".