As per your score and previous year cutoff, the colleges you get in first round are:-

IIT Bombay  Metallurgical Engineering and Materials Science                   Materials Science    

IIT Bombay  Metallurgical Engineering and Materials Science                   Corrosion Science and Engineering   

IIT Bombay  Metallurgical Engineering and Materials Science                   Process Engineering

Punjab Engineering College Chandigarh  Department of Production & Industrial Engineering    Production & Industrial Engineering   

Punjab Engineering College Chandigarh  Inter Disciplinary Department      Total Quality Management

National Institute of Technology Patna   Department of Mechanical Engineering   Production Engineering

National Institute of Technology Patna   Department of Mechanical Engineering   Thermal Engineering

To know more about your chances of getting other colleges check out the PSU/college predictor link below:

https://engineering.careers360.com/gate-college-predictor

Hi Raj,

You have a decent Score! Following are the NIT's you can with 472 or below

1.NIT, Silchar( Computer Science and Engineering /You can give it try / Last year Cutoff was around 515-409)

2.NIT, Trichy(MME/You can get and ME Cutoff was around 743-714)

3.NIT, Rourkela(Chemical Engineering )

4.NIT, Raipur(Chemical Engineering)

5.NIT, Patna (CSE)

6.NIT, Kurukshetra(ECE)

7.NIT, Agartala(CSE & CHE)

8.NIT, Sikkim(CSE)

9.NIT, Puducherry(CSE)

10.MNNIT, Allahabad(CSE & CHE)

Note: It wasn't Possible to find NIT's for ME Since your Score is low for Eligibility, Hope it helps.