22752400 has 60 divisors (see below), whose sum is σ = 59643504. Its totient is φ = 8272000.

The previous prime is 22752383. The next prime is 22752427. The reversal of 22752400 is 425722.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1815 + ... + 6985.

Almost surely, 2^22752400 is an apocalyptic number.

22752400 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 22752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29821752).

22752400 is an abundant number, since it is smaller than the sum of its proper divisors (36891104).

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

22752400 is a wasteful number, since it uses less digits than its factorization.

22752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 22752400 is about 4769.9475888106. The cubic root of 22752400 is about 283.3625191004.

The spelling of 22752400 in words is "twenty-two million, seven hundred fifty-two thousand, four hundred".