230772 has 12 divisors (see below), whose sum is σ = 538496. Its totient is φ = 76920.

The previous prime is 230771. The next prime is 230773. The reversal of 230772 is 277032.

230772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230771) and next prime (230773).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230771) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9604 + ... + 9627.

2²³⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

230772 is an abundant number, since it is smaller than the sum of its proper divisors (307724).

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

230772 is a wasteful number, since it uses less digits than its factorization.

230772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19238 (or 19236 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 230772 is about 480.3873437134. The cubic root of 230772 is about 61.3377307286.

The spelling of 230772 in words is "two hundred thirty thousand, seven hundred seventy-two".