The two-minute video began with Mr. Abu Zaid’s crew inflating condoms as if they were balloons and writing a sarcastic message on them: “From the youth of Egypt to the police on Jan. 25.”

Mr. Abu Zaid and Mr. Malek then joined the official celebration in Tahrir Square, kissing officers and posing for photos with them on the same ground where tens of thousands of Egyptians had fought pitched battles with the security forces five years ago.

After the video was posted online and its satirical intentions were clear, a senior police officer asked prosecutors on Tuesday to charge the pranksters. Mr. Abu Zaid released a statement defending his right “to address social issues in a comedic way,” and complained of threats against him posted on a pro-police Facebook group.

“The Constitution of the Republic of Egypt that was approved in 2014 explicitly protects the freedom of speech and creativity, and holds all bodies of state up to the duty of protecting those expressing their opinion and creativity, not to terrorize and threaten them with abduction and torture,” Mr. Abu Zaid said in the statement.

On Saturday, two days before the anniversary of the Tahrir uprising, Mr. Abu Zaid had uploaded a documentary with images from the protests on that date in 2011 to his YouTube channel.