72355113 has 20 divisors (see below), whose sum is σ = 109212180. Its totient is φ = 47734272.

The previous prime is 72355093. The next prime is 72355139. The reversal of 72355113 is 31155327.

It can be written as a sum of positive squares in 2 ways, for example, as 20903184 + 51451929 = 4572^2 + 7173^2 .

It is not a de Polignac number, because 72355113 - 2⁵ = 72355081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72355183) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3253 + ... + 12461.

It is an arithmetic number, because the mean of its divisors is an integer number (5460609).

Almost surely, 2^72355113 is an apocalyptic number.

It is an amenable number.

72355113 is a deficient number, since it is larger than the sum of its proper divisors (36857067).

72355113 is an equidigital number, since it uses as much as digits as its factorization.

72355113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9318 (or 9309 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 72355113 is about 8506.1808704024. The cubic root of 72355113 is about 416.6995921359.

The spelling of 72355113 in words is "seventy-two million, three hundred fifty-five thousand, one hundred thirteen".