Your reference [0] under "Work Environment" says teachers have 2 months of summer holidays, not 2.5.

$72,830 * 10/12 = $60,691.

I couldn't tell from the data at [0] if that wage included all income for a high school teacher (eg, the teacher works during the summer for a non-school job, and that income is included in the wage), or only the teaching-related income.

The "Teachers’ work patterns: when, where, and how much do U.S. teachers work" from the BLS, at https://www.bls.gov/opub/mlr/2008/03/art4full.pdf , 45% of teachers work in July, and more likely than similar professionals to have multiple jobs.

Assuming 50% education-related work during summer (instead of 0% work) means the comparable is:

  $72,830 * 11/12 = $66,760

which has high-school teachers as 6% underpaid, and the others as 9% underpaid.

Many people have studied this question, resulting in publications with conclusions which are all over the place, especially when looking at think-tank publications and other non-peer-reviewed literature. I have no belief that a simple analysis using the numbers you presented gives a reliable understanding.