825382272 has 128 divisors (see below), whose sum is σ = 2575883520. Its totient is φ = 230860800.

The previous prime is 825382247. The next prime is 825382289. The reversal of 825382272 is 272283528.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 825382272.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47397 + ... + 62427.

It is an arithmetic number, because the mean of its divisors is an integer number (20124090).

Almost surely, 2^825382272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287941760).

825382272 is an abundant number, since it is smaller than the sum of its proper divisors (1750501248).

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

825382272 is a wasteful number, since it uses less digits than its factorization.

825382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15072 (or 15060 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 825382272 is about 28729.4669633810. The cubic root of 825382272 is about 938.0335653554.

It can be divided in two parts, 8253 and 82272, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 825382272 in words is "eight hundred twenty-five million, three hundred eighty-two thousand, two hundred seventy-two".