The poll of 2,000 UK drivers by tyre supplier National.co.uk also found the majority think motorists should stop at 83.
Nine in 10 polled said they believe the over-70s aren’t as safe on the roads as other drivers.
There are 4.6 million drivers aged 70-plus and the number is rising.
RAC Foundation director Steve Gooding said: “The irony is that older drivers are some of the safest on the roads, and the safety benefits of retesting at an arbitrary age such as 72 are minimal.
“Most older motorists recognise their limitations and tend to self regulate, avoiding driving at times and in places they feel uncomfortable, like at night, on motorways and in the rush hour.
“Stopping anyone over a certain age from driving might, very briefly, sound like a good idea but overestimates the danger older drivers pose and underestimates the damage caused to elderly people if their mobility is suddenly and probably needlessly removed.
“We can become unfit to drive at any age and the solution is to encourage all motorists to take health concerns to their GP rather than try to hide them.
“In many cases people can be kept safely on the road with the right treatment. The danger comes when serious conditions go unreported.”
Michael Bourne at National.co.uk, stated: “We are shocked and surprised that the majority of UK motorists believe that elderly drivers need to revisit the basic skills of their driving test when they reach their seventies.
“While it may seem obvious to some that driving ability is adversely affected by age, it’s important to remember that road collisions can happen to anyone at any time regardless of how old they are.
“Most driving schools offer refresher courses for those who have passed their test, and advanced driving courses are available to anyone who cares to further develop their skills, showing that…