871272 has 24 divisors (see below), whose sum is σ = 2359890. Its totient is φ = 290400.

The previous prime is 871271. The next prime is 871289. The reversal of 871272 is 272178.

871272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 427716 = 666^2 + 654^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×871272² = 1518229795968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (871271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5979 + ... + 6122.

2⁸⁷¹²⁷² is an apocalyptic number.

It is an amenable number.

871272 is an abundant number, since it is smaller than the sum of its proper divisors (1488618).

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

871272 is a wasteful number, since it uses less digits than its factorization.

871272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12113 (or 12106 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 871272 is about 933.4195198302. The cubic root of 871272 is about 95.5105294349.

It can be divided in two parts, 8712 and 72, that multiplied together give a square (627264 = 792²).

The spelling of 871272 in words is "eight hundred seventy-one thousand, two hundred seventy-two".