The spelling of the word "improperlying" is incorrect as it violates English language rules. The correct form of the word would be "improperly" based on the phonetic transcription /ɪmˈprɒpəli/ where the emphasis is on the second syllable. The suffix "-ly" is commonly added to adjectives to form adverbs and follows the rule for consonant + "-ly". Therefore, "improperlying" would not follow the correct formation of adverbs and would be considered misspelled.