Hello there,

With a JEE Mains rank of 72,639, your daughter has a reasonable chance of getting into some NITs and IIITs, particularly through the state quota or in branches that are less in demand. Admission chances can vary greatly based on the specific NIT or IIIT, the branch of engineering, and the category under which she is applying (General, OBC, SC, ST, etc.). Here are a few possibilities:

Possible NITs:

1. NIT Mizoram

2. NIT Sikkim

3. NIT Meghalaya

4. NIT Nagaland

5. NIT Arunachal Pradesh

Possible IIITs:

1. IIIT Una

2. IIIT Bhopal

3. IIIT Kottayam

4. IIIT Ranchi

5. IIIT Bhagalpur

The exact cut-off ranks for each institute and branch can vary each year based on factors like the number of applicants, seat availability, and reservation policies. Its advisable to check the latest JOSAA (Joint Seat Allocation Authority) cut-offs for the most accurate and up-to-date information.

Would you like more detailed information or assistance with anything else?