1003872 has 24 divisors (see below), whose sum is σ = 2635416. Its totient is φ = 334592.

The previous prime is 1003841. The next prime is 1003879. The reversal of 1003872 is 2783001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5133 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (109809).

2^1003872 is an apocalyptic number.

1003872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003872 is an abundant number, since it is smaller than the sum of its proper divisors (1631544).

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

1003872 is a wasteful number, since it uses less digits than its factorization.

1003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1003872 is about 1001.9341295714. The cubic root of 1003872 is about 100.1289004420.

Adding to 1003872 its reverse (2783001), we get a palindrome (3786873).

The spelling of 1003872 in words is "one million, three thousand, eight hundred seventy-two".