72577513 has 2 divisors, whose sum is σ = 72577514. Its totient is φ = 72577512.

The previous prime is 72577487. The next prime is 72577529. The reversal of 72577513 is 31577527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71707024 + 870489 = 8468^2 + 933^2 .

It is an emirp because it is prime and its reverse (31577527) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72577513 is a prime.

It is not a weakly prime, because it can be changed into another prime (72575513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36288756 + 36288757.

It is an arithmetic number, because the mean of its divisors is an integer number (36288757).

Almost surely, 2^72577513 is an apocalyptic number.

It is an amenable number.

72577513 is a deficient number, since it is larger than the sum of its proper divisors (1).

72577513 is an equidigital number, since it uses as much as digits as its factorization.

72577513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 51450, while the sum is 37.

The square root of 72577513 is about 8519.2436870887. The cubic root of 72577513 is about 417.1260959709.

The spelling of 72577513 in words is "seventy-two million, five hundred seventy-seven thousand, five hundred thirteen".