71327872317 has 64 divisors (see below), whose sum is σ = 112276684800. Its totient is φ = 39884866560.

The previous prime is 71327872309. The next prime is 71327872333.

71327872317 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71327872317 - 2³ = 71327872309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71327872117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2581984 + ... + 2609462.

It is an arithmetic number, because the mean of its divisors is an integer number (1754323200).

Almost surely, 2^71327872317 is an apocalyptic number.

It is an amenable number.

71327872317 is a deficient number, since it is larger than the sum of its proper divisors (40948812483).

71327872317 is a wasteful number, since it uses less digits than its factorization.

71327872317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27658.

The product of its digits is 691488, while the sum is 48.

The spelling of 71327872317 in words is "seventy-one billion, three hundred twenty-seven million, eight hundred seventy-two thousand, three hundred seventeen".