72605017 has 2 divisors, whose sum is σ = 72605018. Its totient is φ = 72605016.

The previous prime is 72604991. The next prime is 72605033. The reversal of 72605017 is 71050627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69288976 + 3316041 = 8324^2 + 1821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72605017 is a prime.

It is not a weakly prime, because it can be changed into another prime (72605077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36302508 + 36302509.

It is an arithmetic number, because the mean of its divisors is an integer number (36302509).

Almost surely, 2^72605017 is an apocalyptic number.

It is an amenable number.

72605017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72605017 is an equidigital number, since it uses as much as digits as its factorization.

72605017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72605017 is about 8520.8577619862. The cubic root of 72605017 is about 417.1787807339.

The spelling of 72605017 in words is "seventy-two million, six hundred five thousand, seventeen".