Will a burst blood vessel in the penis heal itself - 43k?

Since you were alive long enough to ask this question, it was probably a small blood vessel. It will discolor and swell slightly, but should heal on it's own in time. You should keep from straining your penis (sex, masturbation, etc) unnecessarily. It is very important that you keep an eye on it. If it begins to swell a great deal or the majority of your penis changes color, consult a doctor. Also, if it has not healed within two weeks, consult a doctor. Don't be too afraid, just be vigilant.