71760005520 has 320 divisors, whose sum is σ = 269794160640. Its totient is φ = 15422736384.

The previous prime is 71760005509. The next prime is 71760005573. The reversal of 71760005520 is 2550006717.

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, 2264022 + ... + 2295498.

It is an arithmetic number, because the mean of its divisors is an integer number (843106752).

Almost surely, 2^71760005520 is an apocalyptic number.

71760005520 is a gapful number since it is divisible by the number (70) 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 71760005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134897080320).

71760005520 is an abundant number, since it is smaller than the sum of its proper divisors (198034155120).

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

71760005520 is a wasteful number, since it uses less digits than its factorization.

71760005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31582 (or 31576 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 71760005520 in words is "seventy-one billion, seven hundred sixty million, five thousand, five hundred twenty".