Is it normal to not feel any emotional attachment to anyone?

Ya see, I try to feel sad when a very close relative died he was like a second father to me yet no tears fell, no sadness felt. I don't know why but when I was told he died I was like "Everyone dies at a certain time" then that was it. Whenever I try to remember past events like parting with friends and same things I never felt sad or anything, I never even cried in every graduation I experienced nor do I feel sorry for a friend that has problems. Whenever they tell me their problems I am like "Don't worry about it, everything has solutions" or anything that sounds the same just to not be a bad friend, even though I just got these words from the tv or from other people. Though I don't know but for some reasons I pity cute animals which are killed, but never bothered about a person stabbed with his guts coming out from his side running outside or a group of people dying in some calamity or even a child being tortured or abused. I think I'm more attached to anime and other animals in the animal kingdom rather than my own specie. Most of the time I say "It's just like that" or "Humanity deserves it anyway" or "Why not just do the same thing, that the criminal did to the victim"