little 0 next to animation

I see a little 0 next to my animation… then when I close and reopen blender, it has deleted my animations!

Why is this? how to stop? How to get them back?

thanks…

The animation is gone once you reopen that file. You could try appending it from an autosaved file that you have not reopened.

To save the animation in the future press the F button next to the action name to give it a fake user

why not all of my animations plagued by this 0 though? Only a few are.

It is not plagued, it only means that you didn’t specify the link between animation sequence and object that is animated. Here is good explanation on fake user.