517272 has 32 divisors (see below), whose sum is σ = 1478400. Its totient is φ = 147744.

The previous prime is 517267. The next prime is 517277. The reversal of 517272 is 272715.

It is an interprime number because it is at equal distance from previous prime (517267) and next prime (517277).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517277) by changing a digit.

517272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372 + ... + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁵¹⁷²⁷² is an apocalyptic number.

It is an amenable number.

517272 is an abundant number, since it is smaller than the sum of its proper divisors (961128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

517272 is a wasteful number, since it uses less digits than its factorization.

517272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3091 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 517272 is about 719.2162400836. The cubic root of 517272 is about 80.2736462378.

Adding to 517272 its reverse (272715), we get a palindrome (789987).

The spelling of 517272 in words is "five hundred seventeen thousand, two hundred seventy-two".