75520 has 36 divisors (see below), whose sum is σ = 183960. Its totient is φ = 29696.

The previous prime is 75511. The next prime is 75521. The reversal of 75520 is 2557.

It is a happy number.

75520 is nontrivially palindromic in base 11.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75521) 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, 1251 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (5110).

2⁷⁵⁵²⁰ 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 75520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91980).

75520 is an abundant number, since it is smaller than the sum of its proper divisors (108440).

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

75520 is an equidigital number, since it uses as much as digits as its factorization.

75520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 75520 is about 274.8090245971. The cubic root of 75520 is about 42.2688722103.

It can be divided in two parts, 75 and 520, that added together give a palindrome (595).

The spelling of 75520 in words is "seventy-five thousand, five hundred twenty".