71736936705413 has 12 divisors (see below), whose sum is σ = 83449545069132. Its totient is φ = 61488467308800.

The previous prime is 71736936705389. The next prime is 71736936705517. The reversal of 71736936705413 is 31450763963717.

It can be written as a sum of positive squares in 2 ways, for example, as 13848683989924 + 57888252715489 = 3721382^2 + 7608433^2 .

It is a de Polignac number, because none of the positive numbers 2^k-71736936705413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71736936705013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5293013 + ... + 13095413.

It is an arithmetic number, because the mean of its divisors is an integer number (6954128755761).

Almost surely, 2^{71736936705413} is an apocalyptic number.

It is an amenable number.

71736936705413 is a deficient number, since it is larger than the sum of its proper divisors (11712608363719).

71736936705413 is a wasteful number, since it uses less digits than its factorization.

71736936705413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990052 (or 7990045 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 62.

The spelling of 71736936705413 in words is "seventy-one trillion, seven hundred thirty-six billion, nine hundred thirty-six million, seven hundred five thousand, four hundred thirteen".