872544 has 48 divisors (see below), whose sum is σ = 2343600. Its totient is φ = 284160.

The previous prime is 872533. The next prime is 872549. The reversal of 872544 is 445278.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×872544² = 1522666063872, which contains 22 as substring.

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 872544.

It is not an unprimeable number, because it can be changed into a prime (872549) by changing a digit.

872544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5782 + ... + 5930.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁸⁷²⁵⁴⁴ 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 872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800).

872544 is an abundant number, since it is smaller than the sum of its proper divisors (1471056).

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

872544 is a wasteful number, since it uses less digits than its factorization.

872544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 872544 is about 934.1006369766. The cubic root of 872544 is about 95.5569865379.

The spelling of 872544 in words is "eight hundred seventy-two thousand, five hundred forty-four".