Properties is not a toolbar. It's a panel. Like Files or Assets or CSS.
C F, ahhhh, an important distinction, and I do appreciate that. But FWIW, up until DW5 (so 4 but not 5) you could anchor that panel anywhere, in fact its default location on the UI was at the top. So there was some unfortunate decision by someone at Adobe that changed that.
I'm still on CS5.5 because I use an old 32 bit machine, but I keep the whole panel minimized most of the time. Working in code primarily, I have very little use for the Properties panel.