Let's simplify each of the expressions step by step.

### a. \( 4 \times 17 \times 25 \)

Calculating:

\[
4 \times 17 = 68
\]

\[
68 \times 25 = 1700
\]

So, \( 4 \times 17 \times 25 = 1700 \).

### b. \( 18 \times 123 - 18 \times 25 + 18 \div 2 \)

Calculating each term:

\[
18 \times 123 = 2214
\]

\[
18 \times 25 = 450
\]

\[
18 \div 2 = 9
\]

Putting it all together:

\[
2214 - 450 + 9 = 1773
\]

So, \( 18 \times 123 - 18 \times 25 + 18 \div 2 = 1773 \).

### c. \( 21 \div 5 + 49 \times 163 - 49 \times 72 \)

Calculating each term:

\[
21 \div 5 = 4.2
\]

\[
49 \times 163 = 8007
\]

\[
49 \times 72 = 3528
\]

Putting it together:

\[
4.2 + 8007 - 3528 = 4503.2
\]

So, \( 21 \div 5 + 49 \times 163 - 49 \times 72 = 4503.2 \).

### d. \( 36 \times 113 + 87 \times 69 + 113 \div 14 - 97 \times 19 \)

Calculating each term:

\[
36 \times 113 = 4068
\]

\[
87 \times 69 = 6003
\]

\[
113 \div 14 \approx 8.0714 \quad (\text{or simply } 8.071)
\]

\[
97 \times 19 = 1843
\]

Putting it all together:

\[
4068 + 6003 + 8.0714 - 1843 \approx 8226.0714
\]

So, \( 36 \times 113 + 87 \times 69 + 113 \div 14 - 97 \times 19 \approx 8226.0714 \).

### e. \( 28 \times 58 - 28 \times 46 + 46 = 72 \times 55 \times 72 \times 45 \)

Calculating each term on the left side:

\[
28 \times 58 = 1624
\]

\[
28 \times 46 = 1288
\]

Putting it together:

\[
1624 - 1288 + 46 = 382
\]

Now calculating the right side \( 72 \times 55 \times 72 \times 45 \):

Calculating \( 72 \times 55 \) first:

\[
72 \times 55 = 3960
\]

Now multiplying that by \( 72 \):

\[
3960 \times 72 = 285120
\]

Finally, multiplying by \( 45 \):

\[
285120 \times 45 = 12830400
\]

So, \( 28 \times 58 - 28 \times 46 + 46 \neq 72 \times 55 \times 72 \times 45 \).

The results are as follows:

- a. **1700**
- b. **1773**
- c. **4503.2**
- d. **~8226.0714**
- e. **left side is 382, right side is 12830400 (not equal)**