The number of people living in a small town is found to be a perfect cube. We know that the number of men in the town is 75074, and the number of women in the town is 105916. By an odd coincidence, we count and find that the number of children in the town is also a perfect cube. If we give you a hint that this number is more than 24380, then the smallest possible number of children in the town is ---------?
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