73684 has 18 divisors (see below), whose sum is σ = 140910. Its totient is φ = 33696.

The previous prime is 73681. The next prime is 73693. The reversal of 73684 is 48637.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 72900 = 28^2 + 270^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 622 + ... + 730.

2⁷³⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

73684 is a deficient number, since it is larger than the sum of its proper divisors (67226).

73684 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 73684 = (36784)₁₂.

73684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 73684 is about 271.4479692317. The cubic root of 73684 is about 41.9235191673.

It can be divided in two parts, 736 and 84, that added together give a triangular number (820 = T₄₀).

The spelling of 73684 in words is "seventy-three thousand, six hundred eighty-four".