72660113 has 2 divisors, whose sum is σ = 72660114. Its totient is φ = 72660112.

The previous prime is 72660043. The next prime is 72660121. The reversal of 72660113 is 31106627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70677649 + 1982464 = 8407^2 + 1408^2 .

It is an emirp because it is prime and its reverse (31106627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72660113 - 2¹⁰ = 72659089 is a prime.

It is not a weakly prime, because it can be changed into another prime (72660613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36330056 + 36330057.

It is an arithmetic number, because the mean of its divisors is an integer number (36330057).

Almost surely, 2^72660113 is an apocalyptic number.

It is an amenable number.

72660113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72660113 is an equidigital number, since it uses as much as digits as its factorization.

72660113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 72660113 is about 8524.0901567264. The cubic root of 72660113 is about 417.2842788180.

The spelling of 72660113 in words is "seventy-two million, six hundred sixty thousand, one hundred thirteen".