1830007872 has 420 divisors, whose sum is σ = 6806874880. Its totient is φ = 459993600.

The previous prime is 1830007859. The next prime is 1830007931. The reversal of 1830007872 is 2787000381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59032497 + ... + 59032527.

Almost surely, 2^1830007872 is an apocalyptic number.

1830007872 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 1830007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403437440).

1830007872 is an abundant number, since it is smaller than the sum of its proper divisors (4976867008).

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

1830007872 is an equidigital number, since it uses as much as digits as its factorization.

1830007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1830007872 is about 42778.5912811537. The cubic root of 1830007872 is about 1223.1629545567.

The spelling of 1830007872 in words is "one billion, eight hundred thirty million, seven thousand, eight hundred seventy-two".