72665833 has 2 divisors, whose sum is σ = 72665834. Its totient is φ = 72665832.

The previous prime is 72665821. The next prime is 72665839. The reversal of 72665833 is 33856627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59182249 + 13483584 = 7693^2 + 3672^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72665833 is a prime.

It is not a weakly prime, because it can be changed into another prime (72665839) 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, 36332916 + 36332917.

It is an arithmetic number, because the mean of its divisors is an integer number (36332917).

Almost surely, 2^72665833 is an apocalyptic number.

It is an amenable number.

72665833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72665833 is an equidigital number, since it uses as much as digits as its factorization.

72665833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 181440, while the sum is 40.

The square root of 72665833 is about 8524.4256698032. The cubic root of 72665833 is about 417.2952284452.

The spelling of 72665833 in words is "seventy-two million, six hundred sixty-five thousand, eight hundred thirty-three".