71912818656 has 360 divisors, whose sum is σ = 246680584920. Its totient is φ = 20491688448.

The previous prime is 71912818631. The next prime is 71912818657. The reversal of 71912818656 is 65681821917.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71912818657) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86746050 + ... + 86746878.

It is an arithmetic number, because the mean of its divisors is an integer number (685223847).

Almost surely, 2^71912818656 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 71912818656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123340292460).

71912818656 is an abundant number, since it is smaller than the sum of its proper divisors (174767766264).

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

71912818656 is a wasteful number, since it uses less digits than its factorization.

71912818656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1524 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 71912818656 in words is "seventy-one billion, nine hundred twelve million, eight hundred eighteen thousand, six hundred fifty-six".