72033809 has 2 divisors, whose sum is σ = 72033810. Its totient is φ = 72033808.

The previous prime is 72033803. The next prime is 72033817. The reversal of 72033809 is 90833027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68145025 + 3888784 = 8255^2 + 1972^2 .

It is an emirp because it is prime and its reverse (90833027) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72033809 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72033803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36016904 + 36016905.

It is an arithmetic number, because the mean of its divisors is an integer number (36016905).

Almost surely, 2^72033809 is an apocalyptic number.

It is an amenable number.

72033809 is a deficient number, since it is larger than the sum of its proper divisors (1).

72033809 is an equidigital number, since it uses as much as digits as its factorization.

72033809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 72033809 is about 8487.2733548531. The cubic root of 72033809 is about 416.0818706745.

The spelling of 72033809 in words is "seventy-two million, thirty-three thousand, eight hundred nine".