71637313729 has 2 divisors, whose sum is σ = 71637313730. Its totient is φ = 71637313728.

The previous prime is 71637313703. The next prime is 71637313739. The reversal of 71637313729 is 92731373617.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62463505329 + 9173808400 = 249927^2 + 95780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71637313729 is a prime.

It is not a weakly prime, because it can be changed into another prime (71637313739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35818656864 + 35818656865.

It is an arithmetic number, because the mean of its divisors is an integer number (35818656865).

Almost surely, 2^71637313729 is an apocalyptic number.

It is an amenable number.

71637313729 is a deficient number, since it is larger than the sum of its proper divisors (1).

71637313729 is an equidigital number, since it uses as much as digits as its factorization.

71637313729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1000188, while the sum is 49.

The spelling of 71637313729 in words is "seventy-one billion, six hundred thirty-seven million, three hundred thirteen thousand, seven hundred twenty-nine".