72523013 has 2 divisors, whose sum is σ = 72523014. Its totient is φ = 72523012.

The previous prime is 72523001. The next prime is 72523049. The reversal of 72523013 is 31032527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67930564 + 4592449 = 8242^2 + 2143^2 .

It is an emirp because it is prime and its reverse (31032527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72523013 - 2⁸ = 72522757 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72523013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72523063) 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, 36261506 + 36261507.

It is an arithmetic number, because the mean of its divisors is an integer number (36261507).

Almost surely, 2^72523013 is an apocalyptic number.

It is an amenable number.

72523013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72523013 is an equidigital number, since it uses as much as digits as its factorization.

72523013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72523013 is about 8516.0444456332. The cubic root of 72523013 is about 417.0216602029.

The spelling of 72523013 in words is "seventy-two million, five hundred twenty-three thousand, thirteen".