175 is an odd number, a composite number, and a deficient number. It is a decagonal number, a 19-gonal number, and a centered 29-gonal number.

175 is an Ulam number, and a Zuckerman number. It is the magic constant of the n×n normal magic square and n-Queens Problem for n = 7.

In base 10, raising the digits of 175 to powers of successive integers equals itself: 175 = 1^1 + 7^2+ 5^3. 135, 518, 598, and 1306 also have this property.

The Bible says that Abraham lived to be 175 years old.