865272 has 32 divisors (see below), whose sum is σ = 2234880. Its totient is φ = 278880.

The previous prime is 865261. The next prime is 865301. The reversal of 865272 is 272568.

It is a congruent number.

It is an unprimeable number.

865272 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 7 ways as a sum of consecutive naturals, for example, 163 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (69840).

2⁸⁶⁵²⁷² 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 865272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117440).

865272 is an abundant number, since it is smaller than the sum of its proper divisors (1369608).

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

865272 is a wasteful number, since it uses less digits than its factorization.

865272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 865272 is about 930.1999784992. The cubic root of 865272 is about 95.2907803416.

Subtracting from 865272 its reverse (272568), we obtain a cube (592704 = 84³).

The spelling of 865272 in words is "eight hundred sixty-five thousand, two hundred seventy-two".