72664313 has 2 divisors, whose sum is σ = 72664314. Its totient is φ = 72664312.

The previous prime is 72664309. The next prime is 72664321. The reversal of 72664313 is 31346627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67108864 + 5555449 = 8192^2 + 2357^2 .

It is a cyclic number.

It is not a de Polignac number, because 72664313 - 2² = 72664309 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72664313.

It is not a weakly prime, because it can be changed into another prime (72664373) 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, 36332156 + 36332157.

It is an arithmetic number, because the mean of its divisors is an integer number (36332157).

Almost surely, 2^72664313 is an apocalyptic number.

It is an amenable number.

72664313 is a deficient number, since it is larger than the sum of its proper divisors (1).

72664313 is an equidigital number, since it uses as much as digits as its factorization.

72664313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 32.

The square root of 72664313 is about 8524.3365137704. The cubic root of 72664313 is about 417.2923188101.

The spelling of 72664313 in words is "seventy-two million, six hundred sixty-four thousand, three hundred thirteen".