72002933 has 2 divisors, whose sum is σ = 72002934. Its totient is φ = 72002932.

The previous prime is 72002927. The next prime is 72002963. The reversal of 72002933 is 33920027.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68591524 + 3411409 = 8282^2 + 1847^2 .

It is a cyclic number.

It is not a de Polignac number, because 72002933 - 2¹² = 71998837 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72002923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36001466 + 36001467.

It is an arithmetic number, because the mean of its divisors is an integer number (36001467).

Almost surely, 2^72002933 is an apocalyptic number.

It is an amenable number.

72002933 is a deficient number, since it is larger than the sum of its proper divisors (1).

72002933 is an equidigital number, since it uses as much as digits as its factorization.

72002933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 72002933 is about 8485.4542011609. The cubic root of 72002933 is about 416.0224135021.

The spelling of 72002933 in words is "seventy-two million, two thousand, nine hundred thirty-three".