72306517 has 2 divisors, whose sum is σ = 72306518. Its totient is φ = 72306516.

The previous prime is 72306499. The next prime is 72306527. The reversal of 72306517 is 71560327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57244356 + 15062161 = 7566^2 + 3881^2 .

It is a cyclic number.

It is not a de Polignac number, because 72306517 - 2¹¹ = 72304469 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72306527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36153258 + 36153259.

It is an arithmetic number, because the mean of its divisors is an integer number (36153259).

Almost surely, 2^72306517 is an apocalyptic number.

It is an amenable number.

72306517 is a deficient number, since it is larger than the sum of its proper divisors (1).

72306517 is an equidigital number, since it uses as much as digits as its factorization.

72306517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 72306517 is about 8503.3238795191. The cubic root of 72306517 is about 416.6062816670.

The spelling of 72306517 in words is "seventy-two million, three hundred six thousand, five hundred seventeen".