73280 has 28 divisors (see below), whose sum is σ = 175260. Its totient is φ = 29184.

The previous prime is 73277. The next prime is 73291. The reversal of 73280 is 8237.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 23104 = 224^2 + 152^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 434.

2⁷³²⁸⁰ 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 73280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87630).

73280 is an abundant number, since it is smaller than the sum of its proper divisors (101980).

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

73280 is a wasteful number, since it uses less digits than its factorization.

73280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 73280 is about 270.7027890510. The cubic root of 73280 is about 41.8467582647.

It can be divided in two parts, 73 and 280, that added together give a palindrome (353).

The spelling of 73280 in words is "seventy-three thousand, two hundred eighty".