72175 has 6 divisors (see below), whose sum is σ = 89528. Its totient is φ = 57720.

The previous prime is 72173. The next prime is 72211. The reversal of 72175 is 57127.

It is not a de Polignac number, because 72175 - 2¹ = 72173 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1419 + ... + 1468.

2⁷²¹⁷⁵ is an apocalyptic number.

72175 is a deficient number, since it is larger than the sum of its proper divisors (17353).

72175 is a wasteful number, since it uses less digits than its factorization.

72175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2892 counting only the distinct ones).

The product of its digits is 490, while the sum is 22.

The square root of 72175 is about 268.6540526402. The cubic root of 72175 is about 41.6353542525.

It can be divided in two parts, 7 and 2175, that multiplied together give a triangular number (15225 = T₁₇₄).

The spelling of 72175 in words is "seventy-two thousand, one hundred seventy-five".