811272 has 64 divisors (see below), whose sum is σ = 2534400. Its totient is φ = 210240.

The previous prime is 811259. The next prime is 811273. The reversal of 811272 is 272118.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (811273) by changing a digit.

811272 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, 1629 + ... + 2067.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2⁸¹¹²⁷² 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 811272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267200).

811272 is an abundant number, since it is smaller than the sum of its proper divisors (1723128).

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

811272 is a wasteful number, since it uses less digits than its factorization.

811272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 811272 is about 900.7063894522. The cubic root of 811272 is about 93.2657447174.

The spelling of 811272 in words is "eight hundred eleven thousand, two hundred seventy-two".