72359213 has 2 divisors, whose sum is σ = 72359214. Its totient is φ = 72359212.

The previous prime is 72359207. The next prime is 72359249. The reversal of 72359213 is 31295327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71690089 + 669124 = 8467^2 + 818^2 .

It is a cyclic number.

It is not a de Polignac number, because 72359213 - 2⁴ = 72359197 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72359213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72359113) 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, 36179606 + 36179607.

It is an arithmetic number, because the mean of its divisors is an integer number (36179607).

Almost surely, 2^72359213 is an apocalyptic number.

It is an amenable number.

72359213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72359213 is an equidigital number, since it uses as much as digits as its factorization.

72359213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 32.

The square root of 72359213 is about 8506.4218682123. The cubic root of 72359213 is about 416.7074627433.

The spelling of 72359213 in words is "seventy-two million, three hundred fifty-nine thousand, two hundred thirteen".