71565672065 has 16 divisors (see below), whose sum is σ = 88383987648. Its totient is φ = 55597811136.

The previous prime is 71565672043. The next prime is 71565672097. The reversal of 71565672065 is 56027656517.

It is not a de Polignac number, because 71565672065 - 2³² = 67270704769 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 924839 + ... + 999228.

It is an arithmetic number, because the mean of its divisors is an integer number (5523999228).

Almost surely, 2^71565672065 is an apocalyptic number.

It is an amenable number.

71565672065 is a deficient number, since it is larger than the sum of its proper divisors (16818315583).

71565672065 is a wasteful number, since it uses less digits than its factorization.

71565672065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924288.

The product of its (nonzero) digits is 2646000, while the sum is 50.

The spelling of 71565672065 in words is "seventy-one billion, five hundred sixty-five million, six hundred seventy-two thousand, sixty-five".