Needle Puller

Clever.

The same principle as those rubber thingies you use to open tightly-sealed jar lids.

It's called "friction."

From the website:

Needle Pullers

This mighty helper grips and pulls needles out of any fabric — with ease!

Its textured surface grips needles tightly, easily pulling them from heavy denim or layers of fabric.

Great for crafting, too.

1-1/4" diameter.

Rubber.

Three for $3.99 (needles not included).