https://vaxopedia.org/2018/07/15/do-kids-really-get-72-doses-of-vaccines/
Kids today do routinely get:
13 vaccines, including 5 doses of DTaP, 4 doses of IPV (polio), 3 or 4 doses of hepatitis B, 3 or 4 doses of Hib (the number of doses depends on the vaccine brand used), 4 doses of Prevnar, 2 or 3 doses of rotavirus (the number of doses depends on the vaccine brand used), 2 doses of MMR, 2 doses of Varivax (chicken pox), 2 doses of hepatitis A, 1 doses of Tdap, 2 or 3 doses of HPV (the number of doses depends on the age you start the vaccine series), 2 doses of MCV4 (meningococcal vaccine), and yearly influenza vaccines
protection against 16 vaccine-preventable diseases, including diphtheria, tetanus, pertussis, measles, mumps, rubella, polio, chicken pox, pneumococcal disease, hepatitis A, hepatitis B, meningococcal disease, HPV, rotavirus, Hib, and flu
about 28 doses of those vaccines by age two years (with yearly flu shots)
about 35 doses of those vaccines by age five years (with yearly flu shots)
as few as 23 individual shots by age five years if your child is getting combination vaccines, like Pediarix or Pentacel and Kinrix or Quadracel and Proquad
about 54 doses of those vaccines by age 18 years, with a third of that coming from yearly flu vaccines