72034913 has 2 divisors, whose sum is σ = 72034914. Its totient is φ = 72034912.

The previous prime is 72034903. The next prime is 72034957. The reversal of 72034913 is 31943027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53173264 + 18861649 = 7292^2 + 4343^2 .

It is an emirp because it is prime and its reverse (31943027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72034913 - 2⁸ = 72034657 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72034903) 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, 36017456 + 36017457.

It is an arithmetic number, because the mean of its divisors is an integer number (36017457).

Almost surely, 2^72034913 is an apocalyptic number.

It is an amenable number.

72034913 is a deficient number, since it is larger than the sum of its proper divisors (1).

72034913 is an equidigital number, since it uses as much as digits as its factorization.

72034913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 72034913 is about 8487.3383931595. The cubic root of 72034913 is about 416.0839963062.

The spelling of 72034913 in words is "seventy-two million, thirty-four thousand, nine hundred thirteen".