873072 has 80 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 278208.

The previous prime is 873049. The next prime is 873073. The reversal of 873072 is 270378.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873072.

It is not an unprimeable number, because it can be changed into a prime (873073) by changing a digit.

873072 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, 18553 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁸⁷³⁰⁷² 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 873072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

873072 is an abundant number, since it is smaller than the sum of its proper divisors (1745808).

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

873072 is a wasteful number, since it uses less digits than its factorization.

873072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 873072 is about 934.3832190274. The cubic root of 873072 is about 95.5762573579.

The spelling of 873072 in words is "eight hundred seventy-three thousand, seventy-two".