867072 has 36 divisors (see below), whose sum is σ = 2309720. Its totient is φ = 288768.

The previous prime is 867067. The next prime is 867079. The reversal of 867072 is 270768.

It is not an unprimeable number, because it can be changed into a prime (867079) by changing a digit.

867072 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 3 ways as a sum of consecutive naturals, for example, 204 + ... + 1332.

2⁸⁶⁷⁰⁷² 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 867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154860).

867072 is an abundant number, since it is smaller than the sum of its proper divisors (1442648).

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

867072 is a wasteful number, since it uses less digits than its factorization.

867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 867072 is about 931.1670097249. The cubic root of 867072 is about 95.3568114484.

The spelling of 867072 in words is "eight hundred sixty-seven thousand, seventy-two".