72117013 has 2 divisors, whose sum is σ = 72117014. Its totient is φ = 72117012.

The previous prime is 72116981. The next prime is 72117049. The reversal of 72117013 is 31071127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67782289 + 4334724 = 8233^2 + 2082^2 .

It is an emirp because it is prime and its reverse (31071127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72117013 - 2⁵ = 72116981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72117053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36058506 + 36058507.

It is an arithmetic number, because the mean of its divisors is an integer number (36058507).

Almost surely, 2^72117013 is an apocalyptic number.

It is an amenable number.

72117013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72117013 is an equidigital number, since it uses as much as digits as its factorization.

72117013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 72117013 is about 8492.1736322334. The cubic root of 72117013 is about 416.2420100851.

The spelling of 72117013 in words is "seventy-two million, one hundred seventeen thousand, thirteen".