838272 has 64 divisors (see below), whose sum is σ = 2325600. Its totient is φ = 267264.

The previous prime is 838249. The next prime is 838349. The reversal of 838272 is 272838.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is an unprimeable number.

838272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14179 + ... + 14237.

2⁸³⁸²⁷² 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 838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162800).

838272 is an abundant number, since it is smaller than the sum of its proper divisors (1487328).

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

838272 is a wasteful number, since it uses less digits than its factorization.

838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 838272 is about 915.5719523882. The cubic root of 838272 is about 94.2891353868.

The spelling of 838272 in words is "eight hundred thirty-eight thousand, two hundred seventy-two".