71736936705408 has 256 divisors, whose sum is σ = 205906779187200. Its totient is φ = 21997908688896.

The previous prime is 71736936705389. The next prime is 71736936705517. The reversal of 71736936705408 is 80450763963717.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4574176735 + ... + 4574192417.

It is an arithmetic number, because the mean of its divisors is an integer number (804323356200).

Almost surely, 2^{71736936705408} is an apocalyptic number.

71736936705408 is a gapful number since it is divisible by the number (78) 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 71736936705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102953389593600).

71736936705408 is an abundant number, since it is smaller than the sum of its proper divisors (134169842481792).

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

71736936705408 is a wasteful number, since it uses less digits than its factorization.

71736936705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18769 (or 18757 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 71736936705408 in words is "seventy-one trillion, seven hundred thirty-six billion, nine hundred thirty-six million, seven hundred five thousand, four hundred eight".