My baby is teething with a temperature ranging between 37.2 - 37.7. he is hot to the touch. he eats but not as much as usual. he sleeps. he is not fussy neither does be appear uncomfortable except for the teething pain which seems to bother him less ?

Sounds normal: The cited temperature & symptoms are within the acceptable range of normal.

Teething : Child's physiologic reaction to teething sound normal. He may be not eating quite as much because his gums are sore and/or his growth has slowed a bit. Babies eat more when grown, less when not. One e 1st baby tooth erupts important that he see a Dentist, preferably a pediatric dental specialist (Pedodontist), but no later than 1st b'day. And NEVER put him to bed w a bottle (see Bottle Syndrome).