1728ten in base 12

Let's convert the number \(1728_{10}\) to base 12:

1. Divide \(1728\) by \(12\):
1728 \div 12 = 144 \text{ R } 0
This gives the least significant digit (right-most digit) as \(0\).

2. Divide the quotient \(144\) by \(12\):
144 \div 12 = 12 \text{ R } 0
This gives the next digit as \(0\).

3. Divide the quotient \(12\) by \(12\):
12 \div 12 = 1 \text{ R } 0
This gives the next digit as \(0\).

4. Finally, divide the quotient \(1\) by \(12\):
1 \div 12 = 0 \text{ R } 1
This gives the most significant digit (left-most digit) as \(1\).

Thus, the base 12 representation of \(1728_{10}\) is:
1000_{12}

Therefore, the final answer is:
1000_{12}