To find the missing number in the series 8, 32, 72, 128, ?, let's analyze the pattern or the logic used in the series.

Step 1: Identify the pattern by examining the differences between consecutive numbers:

• The difference between the first term (8) and the second term (32) is \(32 - 8 = 24\).
• The difference between the second term (32) and the third term (72) is \(72 - 32 = 40\).
• The difference between the third term (72) and the fourth term (128) is \(128 - 72 = 56\).

Step 2: Observe the pattern in the differences:

• The differences are 24, 40, 56. They form an arithmetic sequence.
• The difference between consecutive differences is constant: \(40 - 24 = 16\) and \(56 - 40 = 16\).

Step 3: Predict the next difference:

• Following the arithmetic sequence, the next difference should be \(56 + 16 = 72\).

Step 4: Calculate the missing number using the predicted difference:

• Add the predicted difference to the last given number: \(128 + 72 = 200\).

Therefore, the missing number in the series is indeed 200.

Conclusion: Thus, the correct answer is \(200\). The series follows a pattern of increasing differences, where the difference itself increases by a constant value (in this case, 16).