72512917 has 2 divisors, whose sum is σ = 72512918. Its totient is φ = 72512916.

The previous prime is 72512863. The next prime is 72512929. The reversal of 72512917 is 71921527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53494596 + 19018321 = 7314^2 + 4361^2 .

It is an emirp because it is prime and its reverse (71921527) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72512917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72512977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36256458 + 36256459.

It is an arithmetic number, because the mean of its divisors is an integer number (36256459).

Almost surely, 2^72512917 is an apocalyptic number.

It is an amenable number.

72512917 is a deficient number, since it is larger than the sum of its proper divisors (1).

72512917 is an equidigital number, since it uses as much as digits as its factorization.

72512917 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8820, while the sum is 34.

The square root of 72512917 is about 8515.4516615386. The cubic root of 72512917 is about 417.0023079730.

The spelling of 72512917 in words is "seventy-two million, five hundred twelve thousand, nine hundred seventeen".