72737113 has 2 divisors, whose sum is σ = 72737114. Its totient is φ = 72737112.

The previous prime is 72737107. The next prime is 72737183. The reversal of 72737113 is 31173727.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68608089 + 4129024 = 8283^2 + 2032^2 .

It is a cyclic number.

It is not a de Polignac number, because 72737113 - 2¹⁷ = 72606041 is a prime.

It is equal to p_4269505 and since 72737113 and 4269505 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72737183) 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, 36368556 + 36368557.

It is an arithmetic number, because the mean of its divisors is an integer number (36368557).

Almost surely, 2^72737113 is an apocalyptic number.

It is an amenable number.

72737113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72737113 is an equidigital number, since it uses as much as digits as its factorization.

72737113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6174, while the sum is 31.

The square root of 72737113 is about 8528.6055718388. The cubic root of 72737113 is about 417.4316294749.

The spelling of 72737113 in words is "seventy-two million, seven hundred thirty-seven thousand, one hundred thirteen".