22712320 has 52 divisors (see below), whose sum is σ = 54552060. Its totient is φ = 9076736.

The previous prime is 22712311. The next prime is 22712329. The reversal of 22712320 is 2321722.

It is an interprime number because it is at equal distance from previous prime (22712311) and next prime (22712329).

It can be written as a sum of positive squares in 2 ways, for example, as 3211264 + 19501056 = 1792^2 + 4416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22712329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19926 + ... + 21034.

Almost surely, 2^22712320 is an apocalyptic number.

22712320 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 22712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276030).

22712320 is an abundant number, since it is smaller than the sum of its proper divisors (31839740).

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

22712320 is an equidigital number, since it uses as much as digits as its factorization.

22712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 22712320 is about 4765.7444329297. The cubic root of 22712320 is about 283.1960334384.

It can be divided in two parts, 22712 and 320, that added together give a palindrome (23032).

The spelling of 22712320 in words is "twenty-two million, seven hundred twelve thousand, three hundred twenty".