72038413 has 2 divisors, whose sum is σ = 72038414. Its totient is φ = 72038412.

The previous prime is 72038399. The next prime is 72038423. The reversal of 72038413 is 31483027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58400164 + 13638249 = 7642^2 + 3693^2 .

It is a cyclic number.

It is not a de Polignac number, because 72038413 - 2⁵ = 72038381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72038423) 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, 36019206 + 36019207.

It is an arithmetic number, because the mean of its divisors is an integer number (36019207).

Almost surely, 2^72038413 is an apocalyptic number.

It is an amenable number.

72038413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72038413 is an equidigital number, since it uses as much as digits as its factorization.

72038413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72038413 is about 8487.5445801480. The cubic root of 72038413 is about 416.0907350312.

The spelling of 72038413 in words is "seventy-two million, thirty-eight thousand, four hundred thirteen".