827372 has 24 divisors (see below), whose sum is σ = 1782816. Its totient is φ = 327168.

The previous prime is 827369. The next prime is 827389. The reversal of 827372 is 273728.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773 + ... + 1500.

It is an arithmetic number, because the mean of its divisors is an integer number (74284).

2⁸²⁷³⁷² is an apocalyptic number.

It is an amenable number.

827372 is an abundant number, since it is smaller than the sum of its proper divisors (955444).

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

827372 is a wasteful number, since it uses less digits than its factorization.

827372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2295 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 827372 is about 909.5999120492. The cubic root of 827372 is about 93.8786725005.

The spelling of 827372 in words is "eight hundred twenty-seven thousand, three hundred seventy-two".