712549872 has 120 divisors (see below), whose sum is σ = 2085283200. Its totient is φ = 235535040.

The previous prime is 712549853. The next prime is 712549889. The reversal of 712549872 is 278945217.

It is a happy number.

712549872 is a `hidden beast` number, since 71 + 25 + 498 + 72 = 666.

712549872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 508629 + ... + 510027.

It is an arithmetic number, because the mean of its divisors is an integer number (17377360).

Almost surely, 2^712549872 is an apocalyptic number.

712549872 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 712549872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042641600).

712549872 is an abundant number, since it is smaller than the sum of its proper divisors (1372733328).

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

712549872 is a wasteful number, since it uses less digits than its factorization.

712549872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1535 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 712549872 is about 26693.6298018834. The cubic root of 712549872 is about 893.1788324675.

The spelling of 712549872 in words is "seven hundred twelve million, five hundred forty-nine thousand, eight hundred seventy-two".