72077609 has 2 divisors, whose sum is σ = 72077610. Its totient is φ = 72077608.

The previous prime is 72077597. The next prime is 72077617. The reversal of 72077609 is 90677027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64080025 + 7997584 = 8005^2 + 2828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72077609 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72077669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36038804 + 36038805.

It is an arithmetic number, because the mean of its divisors is an integer number (36038805).

Almost surely, 2^72077609 is an apocalyptic number.

It is an amenable number.

72077609 is a deficient number, since it is larger than the sum of its proper divisors (1).

72077609 is an equidigital number, since it uses as much as digits as its factorization.

72077609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 72077609 is about 8489.8532967302. The cubic root of 72077609 is about 416.1661861447.

The spelling of 72077609 in words is "seventy-two million, seventy-seven thousand, six hundred nine".