What is the preposition or compound preposition in the following sentence? central park is extremely popular, owing to its many recreation areas.

Compound prepositions are prepositions which have been modified by adding a noun, an adjective or a verb after it. For example: inside, within, without, etc.

In this sentence, there is no compound preposition, but there is a simple preposition followed by a noun phrase and preceded by a gerund.

Central Park is extremely popular, owing to its many recreation areas.

To

Explanation:

There is no compound preposition in the sentence seeing as compound prepositions are formed by prefixing the preposition to a noun, an adjective or an adverb.

However, there is a preposition here, which is "to"