812672 has 32 divisors (see below), whose sum is σ = 1852320. Its totient is φ = 347904.

The previous prime is 812671. The next prime is 812681. The reversal of 812672 is 276218.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (812671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 443 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (57885).

2⁸¹²⁶⁷² 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 812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926160).

812672 is an abundant number, since it is smaller than the sum of its proper divisors (1039648).

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

812672 is an equidigital number, since it uses as much as digits as its factorization.

812672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 916 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 812672 is about 901.4832222510. The cubic root of 812672 is about 93.3193629884.

The spelling of 812672 in words is "eight hundred twelve thousand, six hundred seventy-two".