Heat oven to 425ºF (218C). Poke sweet potato all over with fork. Roast until soft, 45–80 minutes (depending on size). Remove and let cool. Reduce oven to 350ºF (176ºC).
Cake
Meanwhile, whisk together ¾ cup brown sugar, 2 eggs, ½ cup oil, 3 tablespoons milk, 1 tablespoon pumpkin pie spice until smooth.
Stir in 1 ¼ cups (207g) flour until completely combined. Cover and refrigerate while sweet potato cooks.
Spray bottom and sides of a 9-inch round (or 8-inch square) baking pan with nonstick cooking spray. Cut a round of parchment paper to size of pan and lay flat in bottom of pan.
Streusel
Mix butter, ⅓ cup sugar, ⅓ cup flour, 1 ¼ teaspoons spice, and ¼ teaspoon salt until crumble and chunky.
Purée
Peel cooked sweet potato, add flesh to a mini food processor and process until smooth. (You can also mash by hand using a potato masher. Make sure you mash it until completely smooth.)
Add 1 cup sweet potato puree (222g), remaining ¼ cup flour (31g), 1 teaspoon baking powder, ½ teaspoon baking soda and ½ teaspoon kosher salt to batter; mix to combine.
Transfer batter to prepared pan, smooth top and sprinkle streusel evenly over top.
Bake cake until puffed and golden, and a toothpick inserted in center comes out clean, about 40 minutes. Cook cake in pan, on wire rack, for 15 minutes. Carefully remove cake and allow to cool completely on wire rack.
Glaze
In a medium bowl, whisk together ¼ cup cream cheese, 2 tablespoons confectioners’ sugar, pinch of salt and 1 tablespoon milk until smooth. Add additional milk, by teaspoon, until glaze is drizzle yet forms a ribbon in bowl.
To make lifting the cake out of the pan easier, we recommend laying a long thin strip of parchment paper underneath the parchment paper round in the cake pan. This way, when you're ready to life the cake out of the pan, you can use the strip of paper as handles. Storage: If you make this ahead of time, we recommend waiting to add the drizzle until right before serving. Store the cake at room temperature overnight or in the refrigerator for up to 3 days. Right before serving, reheat the cake in a low oven (300-degrees) until warmed through. Drizzle the cream cheese glaze over top and serve. Wrap leftover cake in plastic wrap and store in the refrigerator for up to 4 days.
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