Not sure exactly; it's tough to tell how tall it is from the photo. From the leaves, however, it looks like it might be some kind of ficus, perhaps ficus microcarpa.

Kay

PS: If you nick a branch, does it exude white sticky sap?

Here is a link that might be useful: {{gwi:503484}}

Hmmm...Ficus microcarpa seems the likely suspect. Thanks. Its history!