712431936 has 140 divisors (see below), whose sum is σ = 2152547892. Its totient is φ = 232906752.

The previous prime is 712431913. The next prime is 712431943. The reversal of 712431936 is 639134217.

It can be written as a sum of positive squares in 2 ways, for example, as 472801536 + 239630400 = 21744^2 + 15480^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 712431936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273456 + ... + 276048.

Almost surely, 2^712431936 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 712431936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076273946).

712431936 is an abundant number, since it is smaller than the sum of its proper divisors (1440115956).

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

712431936 is a wasteful number, since it uses less digits than its factorization.

712431936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670 (or 2651 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 712431936 is about 26691.4206440946. The cubic root of 712431936 is about 893.1295522907.

It can be divided in two parts, 7124 and 31936, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 712431936 in words is "seven hundred twelve million, four hundred thirty-one thousand, nine hundred thirty-six".