It depends on many factors, such as equipment, vocation, skills, imbuements, etc...
Assuming you would be able to reach every pharaoh room solo (there are some access in which you need to pull many levers in a certain amount of time, which could be difficult as 1 low level person), then I think that with 100+ skills, top gear with imbuements, a level 130+ can solo it.
Why 130? Because at 130 you can use the ultimate potions, meaning is A LOT safer to do it.
Note that if you're an EK, the Pharaoh Diptrah is immune to physical, therefor you need an elemental weapon or a elemental damage imbuement.