519272 has 16 divisors (see below), whose sum is σ = 1048740. Its totient is φ = 239616.

The previous prime is 519269. The next prime is 519283. The reversal of 519272 is 272915.

It can be written as a sum of positive squares in 2 ways, for example, as 481636 + 37636 = 694^2 + 194^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 519272.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2393 + ... + 2600.

2⁵¹⁹²⁷² is an apocalyptic number.

519272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

519272 is an abundant number, since it is smaller than the sum of its proper divisors (529468).

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

519272 is a wasteful number, since it uses less digits than its factorization.

519272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012 (or 5008 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 519272 is about 720.6053011184. The cubic root of 519272 is about 80.3769708719.

The spelling of 519272 in words is "five hundred nineteen thousand, two hundred seventy-two".