72713633 has 2 divisors, whose sum is σ = 72713634. Its totient is φ = 72713632.

The previous prime is 72713629. The next prime is 72713651. The reversal of 72713633 is 33631727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72046144 + 667489 = 8488^2 + 817^2 .

It is a cyclic number.

It is not a de Polignac number, because 72713633 - 2² = 72713629 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4268228 and since 72713633 and 4268228 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72713633.

It is not a weakly prime, because it can be changed into another prime (72715633) 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, 36356816 + 36356817.

It is an arithmetic number, because the mean of its divisors is an integer number (36356817).

Almost surely, 2^72713633 is an apocalyptic number.

It is an amenable number.

72713633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72713633 is an equidigital number, since it uses as much as digits as its factorization.

72713633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 32.

The square root of 72713633 is about 8527.2289168287. The cubic root of 72713633 is about 417.3867081178.

The spelling of 72713633 in words is "seventy-two million, seven hundred thirteen thousand, six hundred thirty-three".