I forgot to mention in my earlier response... It also depends on your intended use for the image.
Below is a particularly bad example - a shot I took while testing a new-to-me SMC Pentax-M 135/3.5 on my old K-5 at ISO 12800, a couple of years ago. It's quite heavily cropped, which never helps. It has some colour noise reduction applied, also some very minor luminance noise reduction. Even so, it's clearly
very grainy, and would look awful as a large print. But is it completely useless? Actually, no... One version of it (cropped to 1:1) ended up on a coffee mug and birthday card for my Mum. Both mug and card looked
great, and she was delighted with them
This is another reason why I let the ISO float as high as it needs. At small reproduction sizes, even very high ISO images can be useful...