The word plutocratical is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 25
Highest Scoring Words With Friends™ Play In The Letters plutocratical
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Seven Letter Word Alert: (40 words)
accrual, acicula, apricot, atropia, autocar, calculi, callout, caloric, caltrap, caltrop, capital, capitol, catcall, cattail, citator, clipart, cloacal, coalpit, coaltar, crucial, culprit, curacao, curtail, occular, optical, outcall, partial, patrial, patriot, polaric, practic, rattail, ricotta, tactual, tapioca, tipcart, titular, toccata, topical, toprail