72590033 has 2 divisors, whose sum is σ = 72590034. Its totient is φ = 72590032.

The previous prime is 72590027. The next prime is 72590053. The reversal of 72590033 is 33009527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53684929 + 18905104 = 7327^2 + 4348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72590033 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72589978 and 72590005.

It is not a weakly prime, because it can be changed into another prime (72590053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36295016 + 36295017.

It is an arithmetic number, because the mean of its divisors is an integer number (36295017).

Almost surely, 2^72590033 is an apocalyptic number.

It is an amenable number.

72590033 is a deficient number, since it is larger than the sum of its proper divisors (1).

72590033 is an equidigital number, since it uses as much as digits as its factorization.

72590033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 72590033 is about 8519.9784624141. The cubic root of 72590033 is about 417.1500800684.

The spelling of 72590033 in words is "seventy-two million, five hundred ninety thousand, thirty-three".