71752586880 has 384 divisors, whose sum is σ = 248926789440. Its totient is φ = 17571840000.

The previous prime is 71752586863. The next prime is 71752586881. The reversal of 71752586880 is 8868525717.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 71752586880.

It is not an unprimeable number, because it can be changed into a prime (71752586881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81444040 + ... + 81444920.

Almost surely, 2^71752586880 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 71752586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124463394720).

71752586880 is an abundant number, since it is smaller than the sum of its proper divisors (177174202560).

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

71752586880 is a wasteful number, since it uses less digits than its factorization.

71752586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 71752586880 in words is "seventy-one billion, seven hundred fifty-two million, five hundred eighty-six thousand, eight hundred eighty".