75500 has 24 divisors (see below), whose sum is σ = 165984. Its totient is φ = 30000.

The previous prime is 75479. The next prime is 75503. The reversal of 75500 is 557.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (75503) by changing a digit.

75500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2⁷⁵⁵⁰⁰ 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 75500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992).

75500 is an abundant number, since it is smaller than the sum of its proper divisors (90484).

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

75500 is a wasteful number, since it uses less digits than its factorization.

75500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 17.

The square root of 75500 is about 274.7726332807. The cubic root of 75500 is about 42.2651405186.

It can be divided in two parts, 75 and 500, that added together give a palindrome (575).

The spelling of 75500 in words is "seventy-five thousand, five hundred".