75024 has 30 divisors (see below), whose sum is σ = 210366. Its totient is φ = 24960.

The previous prime is 75017. The next prime is 75029. The reversal of 75024 is 42057.

It is a happy number.

75024 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 17424 = 240^2 + 132^2 .

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

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 74988 and 75006.

It is not an unprimeable number, because it can be changed into a prime (75029) by changing a digit.

75024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 117 + ... + 404.

2⁷⁵⁰²⁴ is an apocalyptic number.

It is an amenable number.

75024 is an abundant number, since it is smaller than the sum of its proper divisors (135342).

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

75024 is a wasteful number, since it uses less digits than its factorization.

75024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75024 is about 273.9050930523. The cubic root of 75024 is about 42.1761310929.

The spelling of 75024 in words is "seventy-five thousand, twenty-four".