72900013 has 2 divisors, whose sum is σ = 72900014. Its totient is φ = 72900012.

The previous prime is 72900011. The next prime is 72900043. The reversal of 72900013 is 31000927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45724644 + 27175369 = 6762^2 + 5213^2 .

It is an emirp because it is prime and its reverse (31000927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72900013 - 2¹ = 72900011 is a prime.

Together with 72900011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72900011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36450006 + 36450007.

It is an arithmetic number, because the mean of its divisors is an integer number (36450007).

Almost surely, 2^72900013 is an apocalyptic number.

It is an amenable number.

72900013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72900013 is an equidigital number, since it uses as much as digits as its factorization.

72900013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 72900013 is about 8538.1504437437. The cubic root of 72900013 is about 417.7430198567.

The spelling of 72900013 in words is "seventy-two million, nine hundred thousand, thirteen".