71745578976 has 96 divisors (see below), whose sum is σ = 198795340800. Its totient is φ = 22656290688.

The previous prime is 71745578963. The next prime is 71745578987. The reversal of 71745578976 is 67987554717.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603985 + ... + 712943.

It is an arithmetic number, because the mean of its divisors is an integer number (2070784800).

Almost surely, 2^71745578976 is an apocalyptic number.

71745578976 is a gapful number since it is divisible by the number (76) 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 71745578976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99397670400).

71745578976 is an abundant number, since it is smaller than the sum of its proper divisors (127049761824).

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

71745578976 is a wasteful number, since it uses less digits than its factorization.

71745578976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109029 (or 108983 counting only the distinct ones).

The product of its digits is 103723200, while the sum is 66.

The spelling of 71745578976 in words is "seventy-one billion, seven hundred forty-five million, five hundred seventy-eight thousand, nine hundred seventy-six".