712417728 has 112 divisors (see below), whose sum is σ = 2100340224. Its totient is φ = 211261440.

The previous prime is 712417703. The next prime is 712417733. The reversal of 712417728 is 827714217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95676 + ... + 102852.

Almost surely, 2^712417728 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 712417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050170112).

712417728 is an abundant number, since it is smaller than the sum of its proper divisors (1387922496).

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

712417728 is a wasteful number, since it uses less digits than its factorization.

712417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7240 counting only the distinct ones).

The product of its digits is 43904, while the sum is 39.

The square root of 712417728 is about 26691.1544898305. The cubic root of 712417728 is about 893.1236150363.

The spelling of 712417728 in words is "seven hundred twelve million, four hundred seventeen thousand, seven hundred twenty-eight".