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A roman numeral conversion web site converts it to MDCCCLXXII

M - 1000

DCCC - 800 (500+100+100+100)

LXX - 70 (50+10+10)

II - 2

Although it doesn't follow the exact same rules, you might also get away with: MCCMLXXII which is one character shorter.

M - 1000

CCM - 800 (1000-100-100)

LXX - 70

II- 2

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Q: How do you write 1872 in the simplest form of a roman numeral?
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