72465013 has 2 divisors, whose sum is σ = 72465014. Its totient is φ = 72465012.

The previous prime is 72464971. The next prime is 72465017. The reversal of 72465013 is 31056427.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45185284 + 27279729 = 6722^2 + 5223^2 .

It is a cyclic number.

It is not a de Polignac number, because 72465013 - 2⁹ = 72464501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72465017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36232506 + 36232507.

It is an arithmetic number, because the mean of its divisors is an integer number (36232507).

Almost surely, 2^72465013 is an apocalyptic number.

It is an amenable number.

72465013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72465013 is an equidigital number, since it uses as much as digits as its factorization.

72465013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72465013 is about 8512.6384276557. The cubic root of 72465013 is about 416.9104600654.

The spelling of 72465013 in words is "seventy-two million, four hundred sixty-five thousand, thirteen".