75000 has 48 divisors (see below), whose sum is σ = 234360. Its totient is φ = 20000.

The previous prime is 74959. The next prime is 75011. The reversal of 75000 is 57.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 5 and base 10.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14998 + ... + 15002.

2⁷⁵⁰⁰⁰ 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 75000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

75000 is an abundant number, since it is smaller than the sum of its proper divisors (159360).

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

75000 is an equidigital number, since it uses as much as digits as its factorization.

75000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 75000 is about 273.8612787526. The cubic root of 75000 is about 42.1716332651.

Adding to 75000 its reverse (57), we get a palindrome (75057).

The spelling of 75000 in words is "seventy-five thousand".