71731408896 has 832 divisors, whose sum is σ = 260015104000. Its totient is φ = 19508428800.

The previous prime is 71731408841. The next prime is 71731408913. The reversal of 71731408896 is 69880413717.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 71731408896 = 1260³ + 4116³ = 1944³ + 4008³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175924706 + ... + 1175924766.

Almost surely, 2^71731408896 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 71731408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130007552000).

71731408896 is an abundant number, since it is smaller than the sum of its proper divisors (188283695104).

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

71731408896 is an equidigital number, since it uses as much as digits as its factorization.

71731408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 71731408896 in words is "seventy-one billion, seven hundred thirty-one million, four hundred eight thousand, eight hundred ninety-six".