The rupee weakened 14 paise to 63.72 against the US dollar in early trade at the Interbank Foreign Exchange today, following fresh demand for the American currency from banks and importers.The benchmark BSE Sensex climbed 7 points in late morning trade today. It was trading at 32,333 . Similarly, NSE Nifty was 6 points higher at 10,073 a short while ago. The rupee weakened 14 paise to 63.72 against the US dollar in early trade at the Interbank Foreign Exchange today, following fresh demand for the American currency from banks and importers.