The model itself was made from black and clear plastic; the Batman insignia were provided by way of decals. The plane rested on a black aircraft model stand (also with decals). Two little heads representing Batman and Robin were part of the design.
The Batplane was one of four Batman-derived vehicle kits issued by Aurora in 1966-68. Also released were the Batmobile, the Batboat, and the Batcycle.
Batman and his various crime-fighting paraphernalia became popular with audiences after the Batman TV series became a sensation and launched all sort of related merchandise.