1. A digital camera that captures an image of a photographic subject, creates image data, and records the image data to a recording medium, comprising: an image processing device that performs image processing, the image processing being selected from a plurality of types of image processing, upon the image data that has been recorded to the recording medium; a determination device that determines appropriateness of the image processing being performed by the image processing device on the recorded image data; and a control device that is configured to: (i) when first image data is selected, according to a user operation, from among the recorded image data, and then image processing to be performed on the first image data is selected according to the user operation, (a) prohibit first image processing, which has been determined by the determination device not to be appropriate to perform on the first image data, from being performed according to the user operation, and (b) allow one of second and third image processing, which have not been determined by the determination device not to be appropriate to perform on the first image data, to be performed according to the user operation, and (ii) when first image processing is selected, from among a plurality of image processing, according to the user operation, and then the recorded image data to which the first image processing is to be performed is selected according to the user operation, (a) prohibit the first image processing from being performed on the first image data, on which it has been determined by the determination device not to be appropriate to perform the first image processing, according to the user operation, and (b) allow the first image processing to be performed on one of second and third image data, on which it has not been determined by the determination device not to be appropriate to perform the first image processing, according to the user operation.