233372 has 12 divisors (see below), whose sum is σ = 418656. Its totient is φ = 113760.

The previous prime is 233371. The next prime is 233407. The reversal of 233372 is 273332.

233372 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2³ + 3⁴ + 3⁸ + 3¹¹ + 7⁵ + 2¹⁵ .

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233372.

It is not an unprimeable number, because it can be changed into a prime (233371) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 548 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (34888).

2²³³³⁷² is an apocalyptic number.

It is an amenable number.

233372 is a deficient number, since it is larger than the sum of its proper divisors (185284).

233372 is a wasteful number, since it uses less digits than its factorization.

233372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1466 counting only the distinct ones).

The product of its digits is 756, while the sum is 20.

The square root of 233372 is about 483.0859136841. The cubic root of 233372 is about 61.5672254955.

The spelling of 233372 in words is "two hundred thirty-three thousand, three hundred seventy-two".