844272 has 120 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 230400.

The previous prime is 844253. The next prime is 844279. The reversal of 844272 is 272448.

844272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844279) by changing a digit.

844272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20572 + ... + 20612.

2⁸⁴⁴²⁷² is an apocalyptic number.

844272 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

844272 is an abundant number, since it is smaller than the sum of its proper divisors (1999296).

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

844272 is a wasteful number, since it uses less digits than its factorization.

844272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 844272 is about 918.8427504203. The cubic root of 844272 is about 94.5135615038.

It can be divided in two parts, 84 and 4272, that added together give a square (4356 = 66²).

The spelling of 844272 in words is "eight hundred forty-four thousand, two hundred seventy-two".