819072 has 80 divisors (see below), whose sum is σ = 2468400. Its totient is φ = 269568.

The previous prime is 819061. The next prime is 819073. The reversal of 819072 is 270918.

819072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819073) by changing a digit.

819072 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 9 ways as a sum of consecutive naturals, for example, 10329 + ... + 10407.

It is an arithmetic number, because the mean of its divisors is an integer number (30855).

2⁸¹⁹⁰⁷² 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 819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234200).

819072 is an abundant number, since it is smaller than the sum of its proper divisors (1649328).

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

819072 is an equidigital number, since it uses as much as digits as its factorization.

819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 819072 is about 905.0259664783. The cubic root of 819072 is about 93.5636940061.

The spelling of 819072 in words is "eight hundred nineteen thousand, seventy-two".