Bank Rhode Island, Smithfield Branch Basic Info Reviews Routing Numbers Map & Direction Name: Bank Rhode Island, Smithfield Branch Main Office: No Service: Full Service Brick and Mortar Office Location: 445 Putnam Pike Smithfield, Rhode Island 02828 Providence County View other branches Phone: 401-231-1400 Please enable JavaScript to view the comments powered by Disqus. Routing NumberProcess ACH TransferProcess Wire Transfer011501682YY011501763YN From: To: