1825884072 has 128 divisors (see below), whose sum is σ = 5310489600. Its totient is φ = 580181184.

The previous prime is 1825884061. The next prime is 1825884091. The reversal of 1825884072 is 2704885281.

It is a happy number.

1825884072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319663 + ... + 2320449.

It is an arithmetic number, because the mean of its divisors is an integer number (41488200).

Almost surely, 2^1825884072 is an apocalyptic number.

1825884072 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 1825884072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655244800).

1825884072 is an abundant number, since it is smaller than the sum of its proper divisors (3484605528).

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

1825884072 is a wasteful number, since it uses less digits than its factorization.

1825884072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1825884072 is about 42730.3647538843. The cubic root of 1825884072 is about 1222.2434916678.

The spelling of 1825884072 in words is "one billion, eight hundred twenty-five million, eight hundred eighty-four thousand, seventy-two".