23792000 has 64 divisors (see below), whose sum is σ = 59192640. Its totient is φ = 9510400.

The previous prime is 23791987. The next prime is 23792003. The reversal of 23792000 is 29732.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23792003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15257 + ... + 16743.

It is an arithmetic number, because the mean of its divisors is an integer number (924885).

Almost surely, 2^23792000 is an apocalyptic number.

23792000 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 23792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29596320).

23792000 is an abundant number, since it is smaller than the sum of its proper divisors (35400640).

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

23792000 is an equidigital number, since it uses as much as digits as its factorization.

23792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 23792000 is about 4877.7043780861. The cubic root of 23792000 is about 287.6141953412.

The spelling of 23792000 in words is "twenty-three million, seven hundred ninety-two thousand".