73080 has 96 divisors (see below), whose sum is σ = 280800. Its totient is φ = 16128.

The previous prime is 73079. The next prime is 73091. The reversal of 73080 is 8037.

73080 = T₅₆ + T₅₇ + ... + T₈₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2506 + ... + 2534.

It is an arithmetic number, because the mean of its divisors is an integer number (2925).

2⁷³⁰⁸⁰ is an apocalyptic number.

73080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

73080 is an abundant number, since it is smaller than the sum of its proper divisors (207720).

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

73080 is a wasteful number, since it uses less digits than its factorization.

73080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73080 is about 270.3331278257. Note that the first 3 decimals coincide. The cubic root of 73080 is about 41.8086533827.

73080 divided by its product of nonzero digits (168) gives a triangular number (435 = T₂₉).

The spelling of 73080 in words is "seventy-three thousand, eighty".