22800672 has 72 divisors (see below), whose sum is σ = 68668236. Its totient is φ = 7151616.

The previous prime is 22800671. The next prime is 22800697. The reversal of 22800672 is 27600822.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 104976 = 4764^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22800671) 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, 2568 + ... + 7224.

Almost surely, 2^22800672 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 22800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334118).

22800672 is an abundant number, since it is smaller than the sum of its proper divisors (45867564).

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

22800672 is a wasteful number, since it uses less digits than its factorization.

22800672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22800672 is about 4775.0049214634. The cubic root of 22800672 is about 283.5627736287.

The spelling of 22800672 in words is "twenty-two million, eight hundred thousand, six hundred seventy-two".