72736817 has 2 divisors, whose sum is σ = 72736818. Its totient is φ = 72736816.

The previous prime is 72736799. The next prime is 72736823. The reversal of 72736817 is 71863727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65788321 + 6948496 = 8111^2 + 2636^2 .

It is a cyclic number.

It is not a de Polignac number, because 72736817 - 2⁶ = 72736753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72736847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36368408 + 36368409.

It is an arithmetic number, because the mean of its divisors is an integer number (36368409).

Almost surely, 2^72736817 is an apocalyptic number.

It is an amenable number.

72736817 is a deficient number, since it is larger than the sum of its proper divisors (1).

72736817 is an equidigital number, since it uses as much as digits as its factorization.

72736817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 98784, while the sum is 41.

The square root of 72736817 is about 8528.5882184568. The cubic root of 72736817 is about 417.4310632352.

The spelling of 72736817 in words is "seventy-two million, seven hundred thirty-six thousand, eight hundred seventeen".