72101016017 has 2 divisors, whose sum is σ = 72101016018. Its totient is φ = 72101016016.

The previous prime is 72101015953. The next prime is 72101016041. The reversal of 72101016017 is 71061010127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63181346881 + 8919669136 = 251359^2 + 94444^2 .

It is an emirp because it is prime and its reverse (71061010127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72101016017 - 2⁶ = 72101015953 is a prime.

It is not a weakly prime, because it can be changed into another prime (72101016077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050508008 + 36050508009.

It is an arithmetic number, because the mean of its divisors is an integer number (36050508009).

Almost surely, 2^72101016017 is an apocalyptic number.

It is an amenable number.

72101016017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72101016017 is an equidigital number, since it uses as much as digits as its factorization.

72101016017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588, while the sum is 26.

The spelling of 72101016017 in words is "seventy-two billion, one hundred one million, sixteen thousand, seventeen".