71731960704 has 96 divisors (see below), whose sum is σ = 207239399640. Its totient is φ = 23815296000.

The previous prime is 71731960691. The next prime is 71731960711. The reversal of 71731960704 is 40706913717.

It is a happy number.

71731960704 is a `hidden beast` number, since 7 + 1 + 7 + 31 + 9 + 607 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 71731960704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165114 + ... + 413190.

Almost surely, 2^71731960704 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 71731960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103619699820).

71731960704 is an abundant number, since it is smaller than the sum of its proper divisors (135507438936).

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

71731960704 is a wasteful number, since it uses less digits than its factorization.

71731960704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248348 (or 248333 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 71731960704 in words is "seventy-one billion, seven hundred thirty-one million, nine hundred sixty thousand, seven hundred four".