72605609 has 2 divisors, whose sum is σ = 72605610. Its totient is φ = 72605608.

The previous prime is 72605597. The next prime is 72605653. The reversal of 72605609 is 90650627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57760000 + 14845609 = 7600^2 + 3853^2 .

It is a cyclic number.

It is not a de Polignac number, because 72605609 - 2⁸ = 72605353 is a prime.

It is not a weakly prime, because it can be changed into another prime (72605509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36302804 + 36302805.

It is an arithmetic number, because the mean of its divisors is an integer number (36302805).

Almost surely, 2^72605609 is an apocalyptic number.

It is an amenable number.

72605609 is a deficient number, since it is larger than the sum of its proper divisors (1).

72605609 is an equidigital number, since it uses as much as digits as its factorization.

72605609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 72605609 is about 8520.8925002021. The cubic root of 72605609 is about 417.1799145820.

The spelling of 72605609 in words is "seventy-two million, six hundred five thousand, six hundred nine".