73084832 has 24 divisors (see below), whose sum is σ = 146248452. Its totient is φ = 35942400.

The previous prime is 73084829. The next prime is 73084867. The reversal of 73084832 is 23848037.

It can be written as a sum of positive squares in 2 ways, for example, as 67305616 + 5779216 = 8204^2 + 2404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73084792 and 73084801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16769 + ... + 20672.

Almost surely, 2^73084832 is an apocalyptic number.

It is an amenable number.

73084832 is an abundant number, since it is smaller than the sum of its proper divisors (73163620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73084832 is a wasteful number, since it uses less digits than its factorization.

73084832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37512 (or 37504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 73084832 is about 8548.9667211892. The cubic root of 73084832 is about 418.0957481567.

The spelling of 73084832 in words is "seventy-three million, eighty-four thousand, eight hundred thirty-two".