What are the numbers divisible by 1072?

1072, 2144, 3216, 4288, 5360, 6432, 7504, 8576, 9648, 10720, 11792, 12864, 13936, 15008, 16080, 17152, 18224, 19296, 20368, 21440, 22512, 23584, 24656, 25728, 26800, 27872, 28944, 30016, 31088, 32160, 33232, 34304, 35376, 36448, 37520, 38592, 39664, 40736, 41808, 42880, 43952, 45024, 46096, 47168, 48240, 49312, 50384, 51456, 52528, 53600, 54672, 55744, 56816, 57888, 58960, 60032, 61104, 62176, 63248, 64320, 65392, 66464, 67536, 68608, 69680, 70752, 71824, 72896, 73968, 75040, 76112, 77184, 78256, 79328, 80400, 81472, 82544, 83616, 84688, 85760, 86832, 87904, 88976, 90048, 91120, 92192, 93264, 94336, 95408, 96480, 97552, 98624, 99696

There is a total of 93 numbers (up to 100000) that are divisible by 1072.
The sum of these numbers is 4685712.
The arithmetic mean of these numbers is 50384.

How to find the numbers divisible by 1072?

Finding all the numbers that can be divided by 1072 is essentially the same as searching for the multiples of 1072: if a number N is a multiple of 1072, then 1072 is a divisor of N.

Indeed, if we assume that N is a multiple of 1072, this means there exists an integer k such that:

$k \times 1072 = N$

Conversely, the result of N divided by 1072 is this same integer k (without any remainder):

$k = \frac{N}{1072}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1072 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 1072 less than 100000):

1 × 1072 = 1072
2 × 1072 = 2144
3 × 1072 = 3216
...
92 × 1072 = 98624
93 × 1072 = 99696