233472 has 52 divisors (see below), whose sum is σ = 655280. Its totient is φ = 73728.

The previous prime is 233437. The next prime is 233477. The reversal of 233472 is 274332.

It is a happy number.

233472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1008) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 4 and base 8.

It is not an unprimeable number, because it can be changed into a prime (233477) by changing a digit.

233472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12279 + ... + 12297.

2²³³⁴⁷² 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 233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327640).

233472 is an abundant number, since it is smaller than the sum of its proper divisors (421808).

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

233472 is an equidigital number, since it uses as much as digits as its factorization.

233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 24 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 233472 is about 483.1894038573. The cubic root of 233472 is about 61.5760181004.

The spelling of 233472 in words is "two hundred thirty-three thousand, four hundred seventy-two".