232972000 has 48 divisors (see below), whose sum is σ = 572422032. Its totient is φ = 93187200.

The previous prime is 232971989. The next prime is 232972021. The reversal of 232972000 is 279232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25122 + ... + 33121.

It is an arithmetic number, because the mean of its divisors is an integer number (11925459).

Almost surely, 2^232972000 is an apocalyptic number.

232972000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232972000 is an abundant number, since it is smaller than the sum of its proper divisors (339450032).

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

232972000 is an equidigital number, since it uses as much as digits as its factorization.

232972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58268 (or 58250 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 232972000 is about 15263.4203244227. The cubic root of 232972000 is about 615.3202993681.

The spelling of 232972000 in words is "two hundred thirty-two million, nine hundred seventy-two thousand".