hi Sinan,

For 97.2 percentile your rank should be around 28k or at least in the range of 25k - 30k. If you are a general candidate, for this rank you may not get good NIT, even if you get it you will not get good branch. You need  state quota to get lower branch in topmost NIT. You can get NIT Trichy - Production Engineering(if you have home state quota). NIT Warangal - Metallurgical and Materials Engineering, Biotech(if you have state quota).   NIT Rourkela - Metallurgical and Materials Engineering, Mining Engineering, Metallurgical and Materials Engineering, Mining Engineering, Bio Medical Engineering, Bio Technology, Ceramic Engineering(for other state) and if you have home state you can also get chemical and civil also.

NIT Surathkal - Mining, Metallurgical and Materials, Civil Engineering.(if you have home state quota). NIT Allahabad - Biotech(if you have home state quota).

If you want top branches like cse, it , ece, ee then you may get it in lower NITs if you have stae quota for those NITs.

I hope this answer will help!!
All the best for the future!!