2005872 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 582400.

The previous prime is 2005859. The next prime is 2005873. The reversal of 2005872 is 2785002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15247 + ... + 15377.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

2^2005872 is an apocalyptic number.

2005872 is a gapful number since it is divisible by the number (22) 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 2005872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2005872 is an abundant number, since it is smaller than the sum of its proper divisors (3886608).

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

2005872 is a wasteful number, since it uses less digits than its factorization.

2005872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2005872 is about 1416.2881062835. The cubic root of 2005872 is about 126.1152887856.

The spelling of 2005872 in words is "two million, five thousand, eight hundred seventy-two".