An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be represented as the ratio of two integers.
- \( \sqrt{25} \) equals 5, which is a rational number.
- \( \pi \) is a well-known irrational number.
- \( 027 \) is simply 27, which is also a rational number.
Thus, the irrational number among the options is \( \pi \).