72796609 has 2 divisors, whose sum is σ = 72796610. Its totient is φ = 72796608.

The previous prime is 72796597. The next prime is 72796621. The reversal of 72796609 is 90669727.

It is a balanced prime because it is at equal distance from previous prime (72796597) and next prime (72796621).

It can be written as a sum of positive squares in only one way, i.e., 69355584 + 3441025 = 8328^2 + 1855^2 .

It is an emirp because it is prime and its reverse (90669727) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72796609 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72796109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36398304 + 36398305.

It is an arithmetic number, because the mean of its divisors is an integer number (36398305).

Almost surely, 2^72796609 is an apocalyptic number.

It is an amenable number.

72796609 is a deficient number, since it is larger than the sum of its proper divisors (1).

72796609 is an equidigital number, since it uses as much as digits as its factorization.

72796609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 72796609 is about 8532.0928851015. The cubic root of 72796609 is about 417.5454124888.

It can be divided in two parts, 727 and 96609, that added together give a cube (97336 = 46³).

The spelling of 72796609 in words is "seventy-two million, seven hundred ninety-six thousand, six hundred nine".