72789617 has 6 divisors (see below), whose sum is σ = 74191782. Its totient is φ = 71413472.

The previous prime is 72789569. The next prime is 72789667. The reversal of 72789617 is 71698727.

It can be written as a sum of positive squares in 3 ways, for example, as 28686736 + 44102881 = 5356^2 + 6641^2 .

It is not a de Polignac number, because 72789617 - 2¹² = 72785521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72789667) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10148 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (12365297).

Almost surely, 2^72789617 is an apocalyptic number.

It is an amenable number.

72789617 is a deficient number, since it is larger than the sum of its proper divisors (1402165).

72789617 is an equidigital number, since it uses as much as digits as its factorization.

72789617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26019 (or 25966 counting only the distinct ones).

The product of its digits is 296352, while the sum is 47.

The square root of 72789617 is about 8531.6831281993. The cubic root of 72789617 is about 417.5320438670.

The spelling of 72789617 in words is "seventy-two million, seven hundred eighty-nine thousand, six hundred seventeen".