72814513 has 2 divisors, whose sum is σ = 72814514. Its totient is φ = 72814512.

The previous prime is 72814501. The next prime is 72814529. The reversal of 72814513 is 31541827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52591504 + 20223009 = 7252^2 + 4497^2 .

It is an emirp because it is prime and its reverse (31541827) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72814513 is a prime.

It is not a weakly prime, because it can be changed into another prime (72814543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36407256 + 36407257.

It is an arithmetic number, because the mean of its divisors is an integer number (36407257).

Almost surely, 2^72814513 is an apocalyptic number.

It is an amenable number.

72814513 is a deficient number, since it is larger than the sum of its proper divisors (1).

72814513 is an equidigital number, since it uses as much as digits as its factorization.

72814513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 31.

The square root of 72814513 is about 8533.1420356162. The cubic root of 72814513 is about 417.5796408243.

The spelling of 72814513 in words is "seventy-two million, eight hundred fourteen thousand, five hundred thirteen".