22753872 has 100 divisors (see below), whose sum is σ = 66902836. Its totient is φ = 7464960.

The previous prime is 22753847. The next prime is 22753873. The reversal of 22753872 is 27835722.

It is a happy number.

22753872 is a `hidden beast` number, since 2 + 275 + 387 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 18974736 = 1944^2 + 4356^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22753873) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 125622 + ... + 125802.

Almost surely, 2^22753872 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 22753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33451418).

22753872 is an abundant number, since it is smaller than the sum of its proper divisors (44148964).

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

22753872 is a wasteful number, since it uses less digits than its factorization.

22753872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 22753872 is about 4770.1018857043. The cubic root of 22753872 is about 283.3686298203.

The spelling of 22753872 in words is "twenty-two million, seven hundred fifty-three thousand, eight hundred seventy-two".