I would be pleased to answer your question . I would not advise you to apply toothpaste on the area as it can cause severe burns and irritation when applied on skin .
You should apply and clean the area with a local mild cleansing lotion and you can apply at home some turmeric powder on it .
In case you need to take a medication you can apply over the counter Neosporin
cream on the area twice day for a few days .
Thanks and Take care