Name of this cacti please?

Recently moved to new house, today start to tidy up the greenhouse what the previous owner have left is a cactus! I am going to keep her and I went to search on forum for a name as I could not find it. I thought the cactus don't like cold and frost, but this survives all the winter in the greenhouse with window and door opened! Should this be OK to stay in greenhouse?
thanks

 

It looks like Stetsonia coryne. It is native to high altitudes in Argentina and Bolivia.
Many cacti grow in arid areas where the temperature falls well below freezing point at night and in the winter so your plant, coming from the areas it does, will tolerate low temperatures.
However in order to do this it must be kept very dry. If the compost is wet, or even damp it will freeze and the plant will die.

Oh and by the way welcome to the forum

 

Michael, thank you for the reply! ;-)

 

You're welcome ...
There are several cactus enthusiasts on this forum.
Also many others who can help you with whatever questions you have.

 

Hi @43576 Michael’s I.D. looks spot on to me