72817933 has 2 divisors, whose sum is σ = 72817934. Its totient is φ = 72817932.

The previous prime is 72817903. The next prime is 72817967. The reversal of 72817933 is 33971827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71690089 + 1127844 = 8467^2 + 1062^2 .

It is an emirp because it is prime and its reverse (33971827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72817933 - 2¹³ = 72809741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72817903) 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, 36408966 + 36408967.

It is an arithmetic number, because the mean of its divisors is an integer number (36408967).

Almost surely, 2^72817933 is an apocalyptic number.

It is an amenable number.

72817933 is a deficient number, since it is larger than the sum of its proper divisors (1).

72817933 is an equidigital number, since it uses as much as digits as its factorization.

72817933 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 72817933 is about 8533.3424283806. The cubic root of 72817933 is about 417.5861784405.

The spelling of 72817933 in words is "seventy-two million, eight hundred seventeen thousand, nine hundred thirty-three".