864072 has 48 divisors (see below), whose sum is σ = 2555280. Its totient is φ = 261600.

The previous prime is 864053. The next prime is 864077. The reversal of 864072 is 270468.

864072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (864077) by changing a digit.

864072 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 11 ways as a sum of consecutive naturals, for example, 247 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (53235).

2⁸⁶⁴⁰⁷² 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 864072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277640).

864072 is an abundant number, since it is smaller than the sum of its proper divisors (1691208).

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

864072 is a wasteful number, since it uses less digits than its factorization.

864072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 864072 is about 929.5547321164. The cubic root of 864072 is about 95.2467087130.

The spelling of 864072 in words is "eight hundred sixty-four thousand, seventy-two".