1903872 has 72 divisors (see below), whose sum is σ = 5281696. Its totient is φ = 608256.

The previous prime is 1903861. The next prime is 1903873. The reversal of 1903872 is 2783091.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1903873) by changing a digit.

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, 28383 + ... + 28449.

2^1903872 is an apocalyptic number.

1903872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1903872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640848).

1903872 is an abundant number, since it is smaller than the sum of its proper divisors (3377824).

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

1903872 is an equidigital number, since it uses as much as digits as its factorization.

1903872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1903872 is about 1379.8086823904. The cubic root of 1903872 is about 123.9403111964.

It can be divided in two parts, 19038 and 72, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 1903872 in words is "one million, nine hundred three thousand, eight hundred seventy-two".