72185168113 has 2 divisors, whose sum is σ = 72185168114. Its totient is φ = 72185168112.

The previous prime is 72185168101. The next prime is 72185168119. The reversal of 72185168113 is 31186158127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45861079104 + 26324089009 = 214152^2 + 162247^2 .

It is a cyclic number.

It is not a de Polignac number, because 72185168113 - 2⁹ = 72185167601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72185168113.

It is not a weakly prime, because it can be changed into another prime (72185168119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36092584056 + 36092584057.

It is an arithmetic number, because the mean of its divisors is an integer number (36092584057).

Almost surely, 2^72185168113 is an apocalyptic number.

It is an amenable number.

72185168113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72185168113 is an equidigital number, since it uses as much as digits as its factorization.

72185168113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 43.

The spelling of 72185168113 in words is "seventy-two billion, one hundred eighty-five million, one hundred sixty-eight thousand, one hundred thirteen".