826272 has 72 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 259200.

The previous prime is 826271. The next prime is 826283. The reversal of 826272 is 272628.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5397 + ... + 5547.

It is an arithmetic number, because the mean of its divisors is an integer number (34580).

2⁸²⁶²⁷² 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 826272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244880).

826272 is an abundant number, since it is smaller than the sum of its proper divisors (1663488).

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

826272 is a wasteful number, since it uses less digits than its factorization.

826272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 826272 is about 908.9950494915. The cubic root of 826272 is about 93.8370498132.

The spelling of 826272 in words is "eight hundred twenty-six thousand, two hundred seventy-two".