The present invention relates to a Solanum lycopersicum seed designated 72-240 RZ, which exhibits pink colored fruits, medium sized fruits, circular shape of the fruits in longitudinal section, fruits having two or three locules. The present invention also relates to a Solanum lycopersicum plant produced by growing the 72-240 RZ seed. The invention further relates to methods for producing the tomato cultivar, represented by tomato variety 72-240 RZ.