1000872 has 24 divisors (see below), whose sum is σ = 2710890. Its totient is φ = 333600.

The previous prime is 1000861. The next prime is 1000889. The reversal of 1000872 is 2780001.

1000872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 715716 + 285156 = 846^2 + 534^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6879 + ... + 7022.

2^1000872 is an apocalyptic number.

1000872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000872 is an abundant number, since it is smaller than the sum of its proper divisors (1710018).

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

1000872 is a wasteful number, since it uses less digits than its factorization.

1000872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13913 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1000872 is about 1000.4359049934. The cubic root of 1000872 is about 100.0290582220.

Adding to 1000872 its reverse (2780001), we get a palindrome (3780873).

The spelling of 1000872 in words is "one million, eight hundred seventy-two", and thus it is an aban number.