72337470013 has 2 divisors, whose sum is σ = 72337470014. Its totient is φ = 72337470012.

The previous prime is 72337469987. The next prime is 72337470019. The reversal of 72337470013 is 31007473327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51208521849 + 21128948164 = 226293^2 + 145358^2 .

It is an emirp because it is prime and its reverse (31007473327) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72337470013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72337470019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36168735006 + 36168735007.

It is an arithmetic number, because the mean of its divisors is an integer number (36168735007).

Almost surely, 2^72337470013 is an apocalyptic number.

It is an amenable number.

72337470013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72337470013 is an equidigital number, since it uses as much as digits as its factorization.

72337470013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 37.

The spelling of 72337470013 in words is "seventy-two billion, three hundred thirty-seven million, four hundred seventy thousand, thirteen".