71728959017 has 2 divisors, whose sum is σ = 71728959018. Its totient is φ = 71728959016.

The previous prime is 71728958963. The next prime is 71728959019. The reversal of 71728959017 is 71095982717.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70856583721 + 872375296 = 266189^2 + 29536^2 .

It is a cyclic number.

It is not a de Polignac number, because 71728959017 - 2²⁶ = 71661850153 is a prime.

Together with 71728959019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (71728959019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35864479508 + 35864479509.

It is an arithmetic number, because the mean of its divisors is an integer number (35864479509).

Almost surely, 2^71728959017 is an apocalyptic number.

It is an amenable number.

71728959017 is a deficient number, since it is larger than the sum of its proper divisors (1).

71728959017 is an equidigital number, since it uses as much as digits as its factorization.

71728959017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2222640, while the sum is 56.

The spelling of 71728959017 in words is "seventy-one billion, seven hundred twenty-eight million, nine hundred fifty-nine thousand, seventeen".