232872 has 32 divisors (see below), whose sum is σ = 602880. Its totient is φ = 74880.

The previous prime is 232871. The next prime is 232877. The reversal of 232872 is 278232.

232872 is nontrivially palindromic in base 5.

232872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (232871) 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, 588 + ... + 900.

It is an arithmetic number, because the mean of its divisors is an integer number (18840).

2²³²⁸⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301440).

232872 is an abundant number, since it is smaller than the sum of its proper divisors (370008).

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

232872 is a wasteful number, since it uses less digits than its factorization.

232872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

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

The square root of 232872 is about 482.5681299050. The cubic root of 232872 is about 61.5232247534.

The spelling of 232872 in words is "two hundred thirty-two thousand, eight hundred seventy-two".