71728969079 has 24 divisors (see below), whose sum is σ = 73997477424. Its totient is φ = 69522432000.

The previous prime is 71728969061. The next prime is 71728969121. The reversal of 71728969079 is 97096982717.

It is a de Polignac number, because none of the positive numbers 2^k-71728969079 is a prime.

It is a super-2 number, since 2×71728969079² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71728969049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 102323429 + ... + 102324129.

It is an arithmetic number, because the mean of its divisors is an integer number (3083228226).

Almost surely, 2^71728969079 is an apocalyptic number.

71728969079 is a deficient number, since it is larger than the sum of its proper divisors (2268508345).

71728969079 is a wasteful number, since it uses less digits than its factorization.

71728969079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 65.

The spelling of 71728969079 in words is "seventy-one billion, seven hundred twenty-eight million, nine hundred sixty-nine thousand, seventy-nine".