72506333 has 2 divisors, whose sum is σ = 72506334. Its totient is φ = 72506332.

The previous prime is 72506267. The next prime is 72506353. The reversal of 72506333 is 33360527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65254084 + 7252249 = 8078^2 + 2693^2 .

It is a cyclic number.

It is not a de Polignac number, because 72506333 - 2¹⁰ = 72505309 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 = 72506296 and 72506305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72506353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36253166 + 36253167.

It is an arithmetic number, because the mean of its divisors is an integer number (36253167).

Almost surely, 2^72506333 is an apocalyptic number.

It is an amenable number.

72506333 is a deficient number, since it is larger than the sum of its proper divisors (1).

72506333 is an equidigital number, since it uses as much as digits as its factorization.

72506333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 29.

The square root of 72506333 is about 8515.0650614073. The cubic root of 72506333 is about 416.9896866525.

The spelling of 72506333 in words is "seventy-two million, five hundred six thousand, three hundred thirty-three".