811072 has 56 divisors (see below), whose sum is σ = 1828800. Its totient is φ = 354816.

The previous prime is 811067. The next prime is 811081. The reversal of 811072 is 270118.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

811072 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27954 + ... + 27982.

2⁸¹¹⁰⁷² 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 811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914400).

811072 is an abundant number, since it is smaller than the sum of its proper divisors (1017728).

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

811072 is a wasteful number, since it uses less digits than its factorization.

811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 811072 is about 900.5953586378. The cubic root of 811072 is about 93.2580799301.

The spelling of 811072 in words is "eight hundred eleven thousand, seventy-two".