22575672 has 168 divisors, whose sum is σ = 74761200. Its totient is φ = 6368544.

The previous prime is 22575649. The next prime is 22575691. The reversal of 22575672 is 27657522.

22575672 is a `hidden beast` number, since 22 + 575 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285729 + ... + 285807.

Almost surely, 2^22575672 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 22575672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37380600).

22575672 is an abundant number, since it is smaller than the sum of its proper divisors (52185528).

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

22575672 is an equidigital number, since it uses as much as digits as its factorization.

22575672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 22575672 is about 4751.3863240111. The cubic root of 22575672 is about 282.6269437575.

The spelling of 22575672 in words is "twenty-two million, five hundred seventy-five thousand, six hundred seventy-two".