232731972 has 144 divisors (see below), whose sum is σ = 686859264. Its totient is φ = 65664000.

The previous prime is 232731971. The next prime is 232731991. The reversal of 232731972 is 279137232.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (232731971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218397 + ... + 1218587.

It is an arithmetic number, because the mean of its divisors is an integer number (4769856).

Almost surely, 2^232731972 is an apocalyptic number.

232731972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232731972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343429632).

232731972 is an abundant number, since it is smaller than the sum of its proper divisors (454127292).

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

232731972 is a wasteful number, since it uses less digits than its factorization.

232731972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 405 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 232731972 is about 15255.5554471150. Note that the first 3 decimals coincide. The cubic root of 232731972 is about 615.1089079386.

The spelling of 232731972 in words is "two hundred thirty-two million, seven hundred thirty-one thousand, nine hundred seventy-two".