232765272 has 64 divisors (see below), whose sum is σ = 650412000. Its totient is φ = 77127552.

The previous prime is 232765237. The next prime is 232765277. The reversal of 232765272 is 272567232.

232765272 is a `hidden beast` number, since 2 + 327 + 65 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232765277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34254 + ... + 40482.

Almost surely, 2^232765272 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 232765272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325206000).

232765272 is an abundant number, since it is smaller than the sum of its proper divisors (417646728).

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

232765272 is a wasteful number, since it uses less digits than its factorization.

232765272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6407 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 232765272 is about 15256.6468137661. The cubic root of 232765272 is about 615.1382437587.

The spelling of 232765272 in words is "two hundred thirty-two million, seven hundred sixty-five thousand, two hundred seventy-two".