Is that $5,625 or $5,625,000?
I would find an established broker or brokers and talk to them about the domain. Put a note on your website that the domain is for sale. Add it to the domain marketplace sites like Afternic, Sedo, and GoDaddy.
Automated appraisals aren't necessarily that accurate. Even different brokers will likely give you different pricing. But it all comes down to finding the right buyer with money and how long you're willing to wait for that.