72105613 has 2 divisors, whose sum is σ = 72105614. Its totient is φ = 72105612.

The previous prime is 72105587. The next prime is 72105623. The reversal of 72105613 is 31650127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38962564 + 33143049 = 6242^2 + 5757^2 .

It is an emirp because it is prime and its reverse (31650127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72105613 - 2⁵ = 72105581 is a prime.

It is a super-2 number, since 2×72105613² = 10398438852211538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72105623) 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, 36052806 + 36052807.

It is an arithmetic number, because the mean of its divisors is an integer number (36052807).

Almost surely, 2^72105613 is an apocalyptic number.

It is an amenable number.

72105613 is a deficient number, since it is larger than the sum of its proper divisors (1).

72105613 is an equidigital number, since it uses as much as digits as its factorization.

72105613 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 25.

The square root of 72105613 is about 8491.5023994579. The cubic root of 72105613 is about 416.2200762456.

The spelling of 72105613 in words is "seventy-two million, one hundred five thousand, six hundred thirteen".