819272 has 8 divisors (see below), whose sum is σ = 1536150. Its totient is φ = 409632.

The previous prime is 819271. The next prime is 819289. The reversal of 819272 is 272918.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 417316 + 401956 = 646^2 + 634^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 819272.

It is not an unprimeable number, because it can be changed into a prime (819271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51197 + ... + 51212.

2⁸¹⁹²⁷² is an apocalyptic number.

It is an amenable number.

819272 is a deficient number, since it is larger than the sum of its proper divisors (716878).

819272 is a wasteful number, since it uses less digits than its factorization.

819272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102415 (or 102411 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 819272 is about 905.1364538013. The cubic root of 819272 is about 93.5713088091.

It can be divided in two parts, 8192 and 72, that multiplied together give a square (589824 = 768²).

The spelling of 819272 in words is "eight hundred nineteen thousand, two hundred seventy-two".