75280 has 20 divisors (see below), whose sum is σ = 175212. Its totient is φ = 30080.

The previous prime is 75277. The next prime is 75289. The reversal of 75280 is 8257.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 38416 = 192^2 + 196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391 + ... + 550.

2⁷⁵²⁸⁰ is an apocalyptic number.

It is an amenable number.

75280 is an abundant number, since it is smaller than the sum of its proper divisors (99932).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87606).

75280 is a wasteful number, since it uses less digits than its factorization.

75280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 75280 is about 274.3720102343. The cubic root of 75280 is about 42.2240483462.

The spelling of 75280 in words is "seventy-five thousand, two hundred eighty".