10572800 has 132 divisors (see below), whose sum is σ = 30459360. Its totient is φ = 3563520.

The previous prime is 10572799. The next prime is 10572803. The reversal of 10572800 is 827501.

It is a super-2 number, since 2×10572800² = 223568199680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10572803) 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, 179171 + ... + 179229.

Almost surely, 2^10572800 is an apocalyptic number.

10572800 is a gapful number since it is divisible by the number (10) 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 10572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229680).

10572800 is an abundant number, since it is smaller than the sum of its proper divisors (19886560).

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

10572800 is an equidigital number, since it uses as much as digits as its factorization.

10572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 10572800 is about 3251.5842292643. The cubic root of 10572800 is about 219.4808696441.

The spelling of 10572800 in words is "ten million, five hundred seventy-two thousand, eight hundred".