72906833 has 2 divisors, whose sum is σ = 72906834. Its totient is φ = 72906832.

The previous prime is 72906817. The next prime is 72906839. The reversal of 72906833 is 33860927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62615569 + 10291264 = 7913^2 + 3208^2 .

It is a cyclic number.

It is not a de Polignac number, because 72906833 - 2⁴ = 72906817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72906839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36453416 + 36453417.

It is an arithmetic number, because the mean of its divisors is an integer number (36453417).

Almost surely, 2^72906833 is an apocalyptic number.

It is an amenable number.

72906833 is a deficient number, since it is larger than the sum of its proper divisors (1).

72906833 is an equidigital number, since it uses as much as digits as its factorization.

72906833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 72906833 is about 8538.5498183240. The cubic root of 72906833 is about 417.7560464596.

The spelling of 72906833 in words is "seventy-two million, nine hundred six thousand, eight hundred thirty-three".