71759122320 has 160 divisors (see below), whose sum is σ = 232294060800. Its totient is φ = 18290460672.

The previous prime is 71759122291. The next prime is 71759122363. The reversal of 71759122320 is 2322195717.

It is a super-2 number, since 2×71759122320² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 9208986 + ... + 9216774.

It is an arithmetic number, because the mean of its divisors is an integer number (1451837880).

Almost surely, 2^71759122320 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 71759122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116147030400).

71759122320 is an abundant number, since it is smaller than the sum of its proper divisors (160534938480).

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

71759122320 is a wasteful number, since it uses less digits than its factorization.

71759122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 71759122320 in words is "seventy-one billion, seven hundred fifty-nine million, one hundred twenty-two thousand, three hundred twenty".