72517 has 4 divisors (see below), whose sum is σ = 73216. Its totient is φ = 71820.

The previous prime is 72503. The next prime is 72533. The reversal of 72517 is 71527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 72517 - 2¹⁵ = 39749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 159 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (18304).

2⁷²⁵¹⁷ is an apocalyptic number.

It is an amenable number.

72517 is a deficient number, since it is larger than the sum of its proper divisors (699).

72517 is a wasteful number, since it uses less digits than its factorization.

72517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698.

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

The square root of 72517 is about 269.2898067139. The cubic root of 72517 is about 41.7010134571.

Subtracting from 72517 its product of digits (490), we obtain a palindrome (72027).

Subtracting from 72517 its reverse (71527), we obtain a triangular number (990 = T₄₄).

The spelling of 72517 in words is "seventy-two thousand, five hundred seventeen".