19000872 has 96 divisors (see below), whose sum is σ = 58094400. Its totient is φ = 5749920.

The previous prime is 19000867. The next prime is 19000873. The reversal of 19000872 is 27800091.

It is a super-2 number, since 2×19000872² = 722066273520768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (19000873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25773 + ... + 26499.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 2^19000872 is an apocalyptic number.

19000872 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 19000872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047200).

19000872 is an abundant number, since it is smaller than the sum of its proper divisors (39093528).

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

19000872 is a wasteful number, since it uses less digits than its factorization.

19000872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 19000872 is about 4358.9989676530. The cubic root of 19000872 is about 266.8442469961.

The spelling of 19000872 in words is "nineteen million, eight hundred seventy-two", and thus it is an aban number.