72536413 has 2 divisors, whose sum is σ = 72536414. Its totient is φ = 72536412.

The previous prime is 72536393. The next prime is 72536417. The reversal of 72536413 is 31463527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68608089 + 3928324 = 8283^2 + 1982^2 .

It is an emirp because it is prime and its reverse (31463527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72536413 - 2²⁵ = 38981981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72536417) 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, 36268206 + 36268207.

It is an arithmetic number, because the mean of its divisors is an integer number (36268207).

Almost surely, 2^72536413 is an apocalyptic number.

It is an amenable number.

72536413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72536413 is an equidigital number, since it uses as much as digits as its factorization.

72536413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 31.

The square root of 72536413 is about 8516.8311595335. The cubic root of 72536413 is about 417.0473428374.

The spelling of 72536413 in words is "seventy-two million, five hundred thirty-six thousand, four hundred thirteen".