How many odd numbers between 1 and 75?

There are 37 odd numbers between 1 and 75. These numbers start from 1 and go up to 75, forming the sequence 1, 3, 5, ..., 75. Since odd numbers can be expressed as 2n + 1, where n is a non-negative integer, the largest value of n for this range is 37, giving us a total of 37 odd numbers.