232872000 has 224 divisors, whose sum is σ = 796283904. Its totient is φ = 59904000.

The previous prime is 232871959. The next prime is 232872023. The reversal of 232872000 is 278232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 743844 + ... + 744156.

Almost surely, 2^232872000 is an apocalyptic number.

232872000 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 232872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398141952).

232872000 is an abundant number, since it is smaller than the sum of its proper divisors (563411904).

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

232872000 is a wasteful number, since it uses less digits than its factorization.

232872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 232872000 is about 15260.1441670778. The cubic root of 232872000 is about 615.2322475336.

The spelling of 232872000 in words is "two hundred thirty-two million, eight hundred seventy-two thousand".