23872500 has 90 divisors (see below), whose sum is σ = 75477402. Its totient is φ = 6360000.

The previous prime is 23872489. The next prime is 23872501. The reversal of 23872500 is 527832.

It can be written as a sum of positive squares in 5 ways, for example, as 7518564 + 16353936 = 2742^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23872501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21970 + ... + 23030.

Almost surely, 2^23872500 is an apocalyptic number.

23872500 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 23872500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37738701).

23872500 is an abundant number, since it is smaller than the sum of its proper divisors (51604902).

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

23872500 is a wasteful number, since it uses less digits than its factorization.

23872500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 23872500 is about 4885.9492424707. The cubic root of 23872500 is about 287.9382101237.

The spelling of 23872500 in words is "twenty-three million, eight hundred seventy-two thousand, five hundred".