712116504 has 192 divisors, whose sum is σ = 2276352000. Its totient is φ = 198754560.

The previous prime is 712116499. The next prime is 712116521. The reversal of 712116504 is 405611217.

It is a happy number.

712116504 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 1 + 650 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556137 + ... + 557415.

It is an arithmetic number, because the mean of its divisors is an integer number (11856000).

Almost surely, 2^712116504 is an apocalyptic number.

712116504 is a gapful number since it is divisible by the number (74) 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 712116504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138176000).

712116504 is an abundant number, since it is smaller than the sum of its proper divisors (1564235496).

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

712116504 is a wasteful number, since it uses less digits than its factorization.

712116504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 712116504 is about 26685.5111249532. The cubic root of 712116504 is about 892.9977206426.

The spelling of 712116504 in words is "seven hundred twelve million, one hundred sixteen thousand, five hundred four".