1813872 has 80 divisors (see below), whose sum is σ = 5142528. Its totient is φ = 549120.

The previous prime is 1813853. The next prime is 1813897. The reversal of 1813872 is 2783181.

It is a happy number.

Its product of digits (2688) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34198 + ... + 34250.

2^1813872 is an apocalyptic number.

1813872 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 1813872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571264).

1813872 is an abundant number, since it is smaller than the sum of its proper divisors (3328656).

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

1813872 is a wasteful number, since it uses less digits than its factorization.

1813872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 1813872 is about 1346.8006534005. The cubic root of 1813872 is about 121.9557306013.

The spelling of 1813872 in words is "one million, eight hundred thirteen thousand, eight hundred seventy-two".