233872 has 20 divisors (see below), whose sum is σ = 464256. Its totient is φ = 114080.

The previous prime is 233861. The next prime is 233879. The reversal of 233872 is 278332.

It is a happy number.

It is a super-2 number, since 2×233872² = 109392224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233879) by changing a digit.

233872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 597 + ... + 907.

2²³³⁸⁷² is an apocalyptic number.

It is an amenable number.

233872 is a deficient number, since it is larger than the sum of its proper divisors (230384).

233872 is a wasteful number, since it uses less digits than its factorization.

233872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 233872 is about 483.6031430833. The cubic root of 233872 is about 61.6111634347.

The spelling of 233872 in words is "two hundred thirty-three thousand, eight hundred seventy-two".