72575 has 6 divisors (see below), whose sum is σ = 90024. Its totient is φ = 58040.

The previous prime is 72559. The next prime is 72577. The reversal of 72575 is 57527.

It is not a de Polignac number, because 72575 - 2⁴ = 72559 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1427 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (15004).

2⁷²⁵⁷⁵ is an apocalyptic number.

72575 is a deficient number, since it is larger than the sum of its proper divisors (17449).

72575 is a wasteful number, since it uses less digits than its factorization.

72575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2908 counting only the distinct ones).

The product of its digits is 2450, while the sum is 26.

The square root of 72575 is about 269.3974758605. The cubic root of 72575 is about 41.7121281578.

Subtracting from 72575 its product of digits (2450), we obtain a triangular number (70125 = T₃₇₄).

The spelling of 72575 in words is "seventy-two thousand, five hundred seventy-five".