232761672 has 288 divisors, whose sum is σ = 781073280. Its totient is φ = 62000640.

The previous prime is 232761601. The next prime is 232761677. The reversal of 232761672 is 276167232.

It is a happy number.

232761672 is a `hidden beast` number, since 2 + 32 + 7 + 616 + 7 + 2 = 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 not an unprimeable number, because it can be changed into a prime (232761677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4952353 + ... + 4952399.

It is an arithmetic number, because the mean of its divisors is an integer number (2712060).

Almost surely, 2^232761672 is an apocalyptic number.

232761672 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 232761672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390536640).

232761672 is an abundant number, since it is smaller than the sum of its proper divisors (548311608).

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

232761672 is a wasteful number, since it uses less digits than its factorization.

232761672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 232761672 is about 15256.5288319460. The cubic root of 232761672 is about 615.1350724536.

The spelling of 232761672 in words is "two hundred thirty-two million, seven hundred sixty-one thousand, six hundred seventy-two".