72018413 has 2 divisors, whose sum is σ = 72018414. Its totient is φ = 72018412.

The previous prime is 72018377. The next prime is 72018433. The reversal of 72018413 is 31481027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60171049 + 11847364 = 7757^2 + 3442^2 .

It is a cyclic number.

It is not a de Polignac number, because 72018413 - 2⁸ = 72018157 is a prime.

It is a super-2 number, since 2×72018413² = 10373303622077138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72018433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36009206 + 36009207.

It is an arithmetic number, because the mean of its divisors is an integer number (36009207).

Almost surely, 2^72018413 is an apocalyptic number.

It is an amenable number.

72018413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72018413 is an equidigital number, since it uses as much as digits as its factorization.

72018413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72018413 is about 8486.3663013094. The cubic root of 72018413 is about 416.0522250909.

The spelling of 72018413 in words is "seventy-two million, eighteen thousand, four hundred thirteen".