72330413 has 2 divisors, whose sum is σ = 72330414. Its totient is φ = 72330412.

The previous prime is 72330407. The next prime is 72330431. The reversal of 72330413 is 31403327.

It is a happy number.

Together with next prime (72330431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58094884 + 14235529 = 7622^2 + 3773^2 .

It is a cyclic number.

It is not a de Polignac number, because 72330413 - 2⁸ = 72330157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72330463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36165206 + 36165207.

It is an arithmetic number, because the mean of its divisors is an integer number (36165207).

Almost surely, 2^72330413 is an apocalyptic number.

It is an amenable number.

72330413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72330413 is an equidigital number, since it uses as much as digits as its factorization.

72330413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 72330413 is about 8504.7288610514. The cubic root of 72330413 is about 416.6521702334.

The spelling of 72330413 in words is "seventy-two million, three hundred thirty thousand, four hundred thirteen".