75000

75000, written seventy-five thousand, is a natural number that sits between 74,999 and 75,001. It is a round number commonly used in finance, population counts, and measurements to denote thousands.

Mathematical properties: 75000 factors as 75 × 1000, giving the prime factorization 2^3 × 3 × 5^5. It is divisible by many integers, including 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 25, 30, 40, 50, 75, 100, and 1000. The sum of its digits is 12, and since 12 divides 75000, it is a Harshad (Niven) number in base 10. In scientific notation, 75000 equals 7.5 × 10^4.

Representations and conversions: In Roman numerals, large numbers like 75000 are typically written with a vinculum (an overline) to indicate multiplication by 1000, such as LXXV with a bar. In everyday use, it can be expressed as 0.075 million or 75 thousand.

Contexts and uses: As a round figure, 75000 is convenient for reporting large counts in statistics, population estimates for small to mid-sized towns, or financial figures and budgets. It is also a convenient benchmark in algorithms and data reporting when thousands are a natural unit.

Overall, 75000 is a composite, highly factorable number that serves as a practical reference point in numerical and applied contexts.