72008329 has 2 divisors, whose sum is σ = 72008330. Its totient is φ = 72008328.

The previous prime is 72008221. The next prime is 72008383. The reversal of 72008329 is 92380027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66015625 + 5992704 = 8125^2 + 2448^2 .

It is a cyclic number.

It is not a de Polignac number, because 72008329 - 2⁷ = 72008201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72008329.

It is not a weakly prime, because it can be changed into another prime (72068329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36004164 + 36004165.

It is an arithmetic number, because the mean of its divisors is an integer number (36004165).

Almost surely, 2^72008329 is an apocalyptic number.

It is an amenable number.

72008329 is a deficient number, since it is larger than the sum of its proper divisors (1).

72008329 is an equidigital number, since it uses as much as digits as its factorization.

72008329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 72008329 is about 8485.7721510774. The cubic root of 72008329 is about 416.0328056753.

The spelling of 72008329 in words is "seventy-two million, eight thousand, three hundred twenty-nine".