712137132 has 72 divisors (see below), whose sum is σ = 2146749696. Its totient is φ = 194619744.

The previous prime is 712137031. The next prime is 712137199. The reversal of 712137132 is 231731217.

712137132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 712137096 and 712137105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55638 + ... + 67229.

It is an arithmetic number, because the mean of its divisors is an integer number (29815968).

Almost surely, 2^712137132 is an apocalyptic number.

It is an amenable number.

712137132 is an abundant number, since it is smaller than the sum of its proper divisors (1434612564).

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

712137132 is a wasteful number, since it uses less digits than its factorization.

712137132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122907 (or 122902 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 712137132 is about 26685.8976240261. The cubic root of 712137132 is about 893.0063430983.

Adding to 712137132 its reverse (231731217), we get a palindrome (943868349).

It can be divided in two parts, 7121 and 37132, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 712137132 in words is "seven hundred twelve million, one hundred thirty-seven thousand, one hundred thirty-two".