Bucharest doesn’t exactly have the best reputation among travelers, but it’s an interesting destination at the very least. Some complain that the Soviet Era still feels alive and well, though progress is continually being made, so those wanting to see those influences should probably come soon.
What Bucharest might lack in polish, it makes up for with reasonable prices. It’s one of Europe’s cheaper large cities, and budget travelers in particular will have far more good options than in most other cities to the north or west. Hotels and hostels are generally cheap, though quality standards might be lower than you are used to if you book at a bottom-end place.
Food and drinks are also pleasantly cheap for most visitors, and the main attractions will barely make a dent in your budget, so you won’t be rushed to see everything in one or two days, at least.