What is heat of vaporization? How can it be used at temperature as low as 25 °C?
Think of vaporization as the removal of the fastest molecules. The separation of the gaseous form from the more closely-bound liquid therefore removes energy from the liquid. The heat of vaporization can apply at much lower temperatures than the BP of water at atmospheric pressure. Even on a day when the temperature is well blow freezing, laundry will dry on a clothesline because ice evaporates (well, sublimes). Also, water at skin temperature soon feels cold as it loses heat through evaporation.

BTW, the boiling point of water is 100 °C only at 1 atmosphere; see this video of water boiling at room temperature, ~25 °C.