827272 has 8 divisors (see below), whose sum is σ = 1551150. Its totient is φ = 413632.

The previous prime is 827269. The next prime is 827293. The reversal of 827272 is 272728.

827272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 715716 + 111556 = 846^2 + 334^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 827272.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51697 + ... + 51712.

2⁸²⁷²⁷² is an apocalyptic number.

It is an amenable number.

827272 is a deficient number, since it is larger than the sum of its proper divisors (723878).

827272 is a wasteful number, since it uses less digits than its factorization.

827272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103415 (or 103411 counting only the distinct ones).

The product of its digits is 3136, while the sum is 28.

The square root of 827272 is about 909.5449411656. The cubic root of 827272 is about 93.8748901449.

The spelling of 827272 in words is "eight hundred twenty-seven thousand, two hundred seventy-two".