23872320 has 168 divisors, whose sum is σ = 85429344. Its totient is φ = 6345216.

The previous prime is 23872297. The next prime is 23872337. The reversal of 23872320 is 2327832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77607 + ... + 77913.

It is an arithmetic number, because the mean of its divisors is an integer number (508508).

Almost surely, 2^23872320 is an apocalyptic number.

23872320 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 23872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42714672).

23872320 is an abundant number, since it is smaller than the sum of its proper divisors (61557024).

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

23872320 is an equidigital number, since it uses as much as digits as its factorization.

23872320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23872320 is about 4885.9308222692. The cubic root of 23872320 is about 287.9374864317.

The spelling of 23872320 in words is "twenty-three million, eight hundred seventy-two thousand, three hundred twenty".