73884033 has 12 divisors (see below), whose sum is σ = 107667300. Its totient is φ = 48819456.

The previous prime is 73884017. The next prime is 73884037. The reversal of 73884033 is 33048837.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 65658609 = 2868^2 + 8103^2 .

It is not a de Polignac number, because 73884033 - 2⁴ = 73884017 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73884037) 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 in 11 ways as a sum of consecutive naturals, for example, 35308 + ... + 37341.

It is an arithmetic number, because the mean of its divisors is an integer number (8972275).

Almost surely, 2^73884033 is an apocalyptic number.

It is an amenable number.

73884033 is a deficient number, since it is larger than the sum of its proper divisors (33783267).

73884033 is a wasteful number, since it uses less digits than its factorization.

73884033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72768 (or 72765 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 73884033 is about 8595.5821792360. The cubic root of 73884033 is about 419.6142205914.

The spelling of 73884033 in words is "seventy-three million, eight hundred eighty-four thousand, thirty-three".