823072 has 36 divisors (see below), whose sum is σ = 1740690. Its totient is φ = 382976.

The previous prime is 823051. The next prime is 823117. The reversal of 823072 is 270328.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 767376 + 55696 = 876^2 + 236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9204 + ... + 9292.

2⁸²³⁰⁷² 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 823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870345).

823072 is an abundant number, since it is smaller than the sum of its proper divisors (917618).

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

823072 is a wasteful number, since it uses less digits than its factorization.

823072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 823072 is about 907.2331563606. The cubic root of 823072 is about 93.7157551964.

The spelling of 823072 in words is "eight hundred twenty-three thousand, seventy-two".