72788413 has 2 divisors, whose sum is σ = 72788414. Its totient is φ = 72788412.

The previous prime is 72788393. The next prime is 72788431. The reversal of 72788413 is 31488727.

Together with next prime (72788431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65723449 + 7064964 = 8107^2 + 2658^2 .

It is a cyclic number.

It is not a de Polignac number, because 72788413 - 2²¹ = 70691261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72788473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36394206 + 36394207.

It is an arithmetic number, because the mean of its divisors is an integer number (36394207).

Almost surely, 2^72788413 is an apocalyptic number.

It is an amenable number.

72788413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72788413 is an equidigital number, since it uses as much as digits as its factorization.

72788413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 75264, while the sum is 40.

The square root of 72788413 is about 8531.6125673872. The cubic root of 72788413 is about 417.5297417468.

The spelling of 72788413 in words is "seventy-two million, seven hundred eighty-eight thousand, four hundred thirteen".