In my talk, I will give a brief introduction to thermal and thermophysical models that are widely used for interpretation of the thermal infrared radiation of asteroids. These include the NEATM model developed by Harris (1998) and the thermophysical model of Lagerros (1996, 1997, 1998). I will discuss the effects of thermal inertia and surface roughness on the emitted radiation and show how these properties can be derived by the means of a thermophysical model. I will apply the thermophysical model to hundreds of asteroids with known shape model and available thermal infrared data from the WISE satellite. Finally, I will also discuss the thermophysical properties of near-Earth asteroid (3200) Phaethon, the target of the proposed DESTINY+ mission of JAXA.