72595681 has 2 divisors, whose sum is σ = 72595682. Its totient is φ = 72595680.

The previous prime is 72595597. The next prime is 72595687. The reversal of 72595681 is 18659527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51251281 + 21344400 = 7159^2 + 4620^2 .

It is an emirp because it is prime and its reverse (18659527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72595681 - 2⁷ = 72595553 is a prime.

It is a super-2 number, since 2×72595681² = 10540265799707522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72595687) 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, 36297840 + 36297841.

It is an arithmetic number, because the mean of its divisors is an integer number (36297841).

Almost surely, 2^72595681 is an apocalyptic number.

It is an amenable number.

72595681 is a deficient number, since it is larger than the sum of its proper divisors (1).

72595681 is an equidigital number, since it uses as much as digits as its factorization.

72595681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 151200, while the sum is 43.

The square root of 72595681 is about 8520.3099122039. The cubic root of 72595681 is about 417.1608988290.

The spelling of 72595681 in words is "seventy-two million, five hundred ninety-five thousand, six hundred eighty-one".