73680 has 40 divisors (see below), whose sum is σ = 229152. Its totient is φ = 19584.

The previous prime is 73679. The next prime is 73681. The reversal of 73680 is 8637.

It is an interprime number because it is at equal distance from previous prime (73679) and next prime (73681).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73680.

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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 393.

2⁷³⁶⁸⁰ 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 73680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114576).

73680 is an abundant number, since it is smaller than the sum of its proper divisors (155472).

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

73680 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 73680 = (36780)₁₂.

73680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73680 is about 271.4406012372. The cubic root of 73680 is about 41.9227605353.

The spelling of 73680 in words is "seventy-three thousand, six hundred eighty".