
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Calculate the total number of distinct ways, $D(72)$, to express the number $72$ as a product of integers where each integer is greater than $1$ and the order of factors counts. Each representation that differs only by order is considered distinct.
A) 59
B) 87
C) 112
D) 119
E) 130

Present the answer in LaTex format: \boxed{Your answer}
user