Home Postcodes by state NSW 2737 Postcode 2737 2737 is the postcode for Euston, NSW. Localities with postcode 2737EustonNSW Postcode 2737 State or territory New South Wales (NSW) Localities 1 Council area Balranald Council area based on Australian Bureau of Statistics data (ASGS Edition 3), CC BY 4.0. Postcode 2736 · Postcode 2738