To determine which of the given numbers is irrational, let's analyze each one:
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\( \sqrt{25} \): The square root of 25 is 5, which is a rational number (it can be expressed as \( \frac{5}{1} \)).
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\( \pi \): The number \( \pi \) (pi) is known to be an irrational number, meaning it cannot be expressed as a fraction of two integers.
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\( \frac{0}{27} \): This fraction simplifies to 0, which is also a rational number (it can be expressed as \( \frac{0}{1} \)).
Thus, the only irrational number among the options is \( \pi \).