Is Project Image immune to any types of damage?

The spell Project Image states:

The illusion looks and sounds like you but is intangible.

and also

If the illusion takes any damage, it disappears, and the spell ends.

Does the intangibility of the illusion imply immunity to one or more damage types? As an example, one might imagine that damage based on having a tangible physical thing to hurt, like non-magical bludgeoning damage, may not apply.