72288113 has 2 divisors, whose sum is σ = 72288114. Its totient is φ = 72288112.

The previous prime is 72288107. The next prime is 72288127. The reversal of 72288113 is 31188227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69022864 + 3265249 = 8308^2 + 1807^2 .

It is a cyclic number.

It is not a de Polignac number, because 72288113 - 2¹⁴ = 72271729 is a prime.

It is a super-2 number, since 2×72288113² = 10451142562201538, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72288113.

It is not a weakly prime, because it can be changed into another prime (72288133) 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, 36144056 + 36144057.

It is an arithmetic number, because the mean of its divisors is an integer number (36144057).

Almost surely, 2^72288113 is an apocalyptic number.

It is an amenable number.

72288113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72288113 is an equidigital number, since it uses as much as digits as its factorization.

72288113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 32.

The square root of 72288113 is about 8502.2416455897. The cubic root of 72288113 is about 416.5709327435.

The spelling of 72288113 in words is "seventy-two million, two hundred eighty-eight thousand, one hundred thirteen".