72518353 has 2 divisors, whose sum is σ = 72518354. Its totient is φ = 72518352.

The previous prime is 72518317. The next prime is 72518371. The reversal of 72518353 is 35381527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45603009 + 26915344 = 6753^2 + 5188^2 .

It is an emirp because it is prime and its reverse (35381527) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72518353 is a prime.

It is not a weakly prime, because it can be changed into another prime (72518653) 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, 36259176 + 36259177.

It is an arithmetic number, because the mean of its divisors is an integer number (36259177).

Almost surely, 2^72518353 is an apocalyptic number.

It is an amenable number.

72518353 is a deficient number, since it is larger than the sum of its proper divisors (1).

72518353 is an equidigital number, since it uses as much as digits as its factorization.

72518353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25200, while the sum is 34.

The square root of 72518353 is about 8515.7708400356. The cubic root of 72518353 is about 417.0127280379.

The spelling of 72518353 in words is "seventy-two million, five hundred eighteen thousand, three hundred fifty-three".