72735413 has 2 divisors, whose sum is σ = 72735414. Its totient is φ = 72735412.

The previous prime is 72735389. The next prime is 72735419. The reversal of 72735413 is 31453727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71605444 + 1129969 = 8462^2 + 1063^2 .

It is an emirp because it is prime and its reverse (31453727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72735413 - 2⁶ = 72735349 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72735413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72735419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36367706 + 36367707.

It is an arithmetic number, because the mean of its divisors is an integer number (36367707).

Almost surely, 2^72735413 is an apocalyptic number.

It is an amenable number.

72735413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72735413 is an equidigital number, since it uses as much as digits as its factorization.

72735413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 32.

The square root of 72735413 is about 8528.5059066638. The cubic root of 72735413 is about 417.4283774015.

The spelling of 72735413 in words is "seventy-two million, seven hundred thirty-five thousand, four hundred thirteen".