883272 has 64 divisors (see below), whose sum is σ = 2520000. Its totient is φ = 255744.

The previous prime is 883249. The next prime is 883273. The reversal of 883272 is 272388.

883272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 8 + 8³ + 2⁵ + 3¹⁰ + 7⁷ + 2⁷ .

It is not an unprimeable number, because it can be changed into a prime (883273) by changing a digit.

883272 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 15 ways as a sum of consecutive naturals, for example, 5854 + ... + 6002.

It is an arithmetic number, because the mean of its divisors is an integer number (39375).

2⁸⁸³²⁷² 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 883272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000).

883272 is an abundant number, since it is smaller than the sum of its proper divisors (1636728).

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

883272 is a wasteful number, since it uses less digits than its factorization.

883272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

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

The square root of 883272 is about 939.8255157209. The cubic root of 883272 is about 95.9470193775.

The spelling of 883272 in words is "eight hundred eighty-three thousand, two hundred seventy-two".