Illogical. Nonsensical. Comedic and charming. These are all words that can easily be used to describe the show running on Broadway known as Nice Work if You Can Get It. But one word sums them, and its main star Matthew Broderick, better than any others: brilliant.

Nice Work is set in Long Island in the 1920s, at the height of Prohibition. About to be married for the fourth time, Jimmy Winter (Broderick) is entertaining his soon-to-be parents-in-law at his mansion at the same time that he falls in love with a bootlegger named Billie, played by Kathleen Marshall. Quickly joining Billie in her bootlegging adventures, Jimmy must conduct all activity in strict secretiveness, for his in-laws are Prohibitionists.

The silly plot is accentuated by even sillier songs including “Let’s Call the Whole Thing Off,” “I’ve Got a Crush on You,” and “Someone to Watch Over Me,” along with 12 other numbers that will have audiences laughing, dancing, and making memories of a magical night at the theater.

Broderick’s charm shines through with every step he takes on the stage, and you can tell that it’s where he’s meant to be, as his voice projects the jaunty, witty lyrics of each song. Those who loved him in The Producers and How to Succeed in Business Without Really Trying, a performance which won him a Tony Award, will love him equally so in Nice Work.

Kelli O’Hara is the perfect complement to Broderick, playing the role of Billie, and bringing her own Tony-nominated presence to the stage (for South Pacific.) Another Tony winner, Joe DiPietro, wrote the book; while Kathleen Marhsall, who’s won a Tony for Anything Goes, both directed and choreographed the show.

If you’d like to see Broadway’s latest piece of Nice Work, get your tickets now; the show is running until November 2012.