71975246784 has 224 divisors, whose sum is σ = 225648170496. Its totient is φ = 19819806720.

The previous prime is 71975246773. The next prime is 71975246803. The reversal of 71975246784 is 48764257917.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×71975246784² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4565764 + ... + 4581500.

It is an arithmetic number, because the mean of its divisors is an integer number (1007357904).

Almost surely, 2^71975246784 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 71975246784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112824085248).

71975246784 is an abundant number, since it is smaller than the sum of its proper divisors (153672923712).

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

71975246784 is a wasteful number, since it uses less digits than its factorization.

71975246784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15883 (or 15873 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 60.

The spelling of 71975246784 in words is "seventy-one billion, nine hundred seventy-five million, two hundred forty-six thousand, seven hundred eighty-four".