72818609 has 2 divisors, whose sum is σ = 72818610. Its totient is φ = 72818608.

The previous prime is 72818593. The next prime is 72818611. The reversal of 72818609 is 90681827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71910400 + 908209 = 8480^2 + 953^2 .

It is an emirp because it is prime and its reverse (90681827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72818609 - 2⁴ = 72818593 is a prime.

Together with 72818611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72818699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36409304 + 36409305.

It is an arithmetic number, because the mean of its divisors is an integer number (36409305).

Almost surely, 2^72818609 is an apocalyptic number.

It is an amenable number.

72818609 is a deficient number, since it is larger than the sum of its proper divisors (1).

72818609 is an equidigital number, since it uses as much as digits as its factorization.

72818609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 72818609 is about 8533.3820376214. The cubic root of 72818609 is about 417.5874706468.

The spelling of 72818609 in words is "seventy-two million, eight hundred eighteen thousand, six hundred nine".