72013369 has 2 divisors, whose sum is σ = 72013370. Its totient is φ = 72013368.

The previous prime is 72013349. The next prime is 72013387. The reversal of 72013369 is 96331027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69939769 + 2073600 = 8363^2 + 1440^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72013369 is a prime.

It is a super-2 number, since 2×72013369² = 10371850629460322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72013369.

It is not a weakly prime, because it can be changed into another prime (72013349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36006684 + 36006685.

It is an arithmetic number, because the mean of its divisors is an integer number (36006685).

Almost surely, 2^72013369 is an apocalyptic number.

It is an amenable number.

72013369 is a deficient number, since it is larger than the sum of its proper divisors (1).

72013369 is an equidigital number, since it uses as much as digits as its factorization.

72013369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 72013369 is about 8486.0691135531. The cubic root of 72013369 is about 416.0425117582.

The spelling of 72013369 in words is "seventy-two million, thirteen thousand, three hundred sixty-nine".