72117713 has 2 divisors, whose sum is σ = 72117714. Its totient is φ = 72117712.

The previous prime is 72117697. The next prime is 72117733. The reversal of 72117713 is 31771127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70694464 + 1423249 = 8408^2 + 1193^2 .

It is an emirp because it is prime and its reverse (31771127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72117713 - 2⁴ = 72117697 is a prime.

It is not a weakly prime, because it can be changed into another prime (72117733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36058856 + 36058857.

It is an arithmetic number, because the mean of its divisors is an integer number (36058857).

Almost surely, 2^72117713 is an apocalyptic number.

It is an amenable number.

72117713 is a deficient number, since it is larger than the sum of its proper divisors (1).

72117713 is an equidigital number, since it uses as much as digits as its factorization.

72117713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2058, while the sum is 29.

The square root of 72117713 is about 8492.2148465521. The cubic root of 72117713 is about 416.2433568245.

The spelling of 72117713 in words is "seventy-two million, one hundred seventeen thousand, seven hundred thirteen".