712697832 has 256 divisors, whose sum is σ = 2506291200. Its totient is φ = 182269440.

The previous prime is 712697767. The next prime is 712697857. The reversal of 712697832 is 238796217.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1213843 + ... + 1214429.

It is an arithmetic number, because the mean of its divisors is an integer number (9790200).

Almost surely, 2^712697832 is an apocalyptic number.

712697832 is a gapful number since it is divisible by the number (72) 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 712697832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253145600).

712697832 is an abundant number, since it is smaller than the sum of its proper divisors (1793593368).

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

712697832 is a wasteful number, since it uses less digits than its factorization.

712697832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 712697832 is about 26696.4011057670. The cubic root of 712697832 is about 893.2406506405.

The spelling of 712697832 in words is "seven hundred twelve million, six hundred ninety-seven thousand, eight hundred thirty-two".