My eldest was born in a German hospital and wasn't bathed "officially" until day three when we were discharged. (Although she had a rather unceremonious dip in the sink right after birth.) The midwives brought myself and my daughter down to the nursery and the midwife showed me how to hold DD1 and bath her. Also, they explained how to care for her cord. I actually really enjoyed the lesson. I've handled babies before but never so young, and never with such responsibility!
My Homebirthed DD2 didn't get a bath in forever
. Maybe even two weeks? We spot cleaned her... but she smelled wonderful for such a long time. (Well her cord got a bit funky, but that was unrelated.
On the flip side, I watched my nephew recieve his first bath and was appalled by the amount of soap that nurse scrubbed on his tiny body. I kid you not she used up an entire small bottle of J&J. She'd scrub, scrub, scrub, rinse, rinse, rinse, and scrub all over. Until the entire bottle was used up. That baby just screamed and screamed and screamed. And then when I tapped on the glass and offered to hold him I was informed he needed to be under lights for an hour to regulate his temperature.
So yeah, he spent almost TWO hours away from his mother. And that doesn't include the same-day circumcision.