22572800 has 54 divisors (see below), whose sum is σ = 55887048. Its totient is φ = 9026560.

The previous prime is 22572791. The next prime is 22572811. The reversal of 22572800 is 827522.

It is a self number, because there is not a number n which added to its sum of digits gives 22572800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4637 + ... + 8163.

Almost surely, 2^22572800 is an apocalyptic number.

22572800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27943524).

22572800 is an abundant number, since it is smaller than the sum of its proper divisors (33314248).

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

22572800 is an equidigital number, since it uses as much as digits as its factorization.

22572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 22572800 is about 4751.0840868164. The cubic root of 22572800 is about 282.6149583039.

The spelling of 22572800 in words is "twenty-two million, five hundred seventy-two thousand, eight hundred".