73665684 has 72 divisors (see below), whose sum is σ = 197444520. Its totient is φ = 23116800.

The previous prime is 73665677. The next prime is 73665701. The reversal of 73665684 is 48656637.

73665684 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 69255684 = 2100^2 + 8322^2 .

73665684 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41944 + ... + 43664.

It is an arithmetic number, because the mean of its divisors is an integer number (2742285).

Almost surely, 2^73665684 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73665684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98722260).

73665684 is an abundant number, since it is smaller than the sum of its proper divisors (123778836).

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

73665684 is a wasteful number, since it uses less digits than its factorization.

73665684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1796 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 73665684 is about 8582.8715474484. The cubic root of 73665684 is about 419.2004516656.

The spelling of 73665684 in words is "seventy-three million, six hundred sixty-five thousand, six hundred eighty-four".