19119072 has 96 divisors (see below), whose sum is σ = 59899392. Its totient is φ = 5220864.

The previous prime is 19119071. The next prime is 19119103. The reversal of 19119072 is 27091191.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19119071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14838 + ... + 16074.

It is an arithmetic number, because the mean of its divisors is an integer number (623952).

Almost surely, 2^19119072 is an apocalyptic number.

19119072 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 19119072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29949696).

19119072 is an abundant number, since it is smaller than the sum of its proper divisors (40780320).

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

19119072 is a wasteful number, since it uses less digits than its factorization.

19119072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 19119072 is about 4372.5361061974. The cubic root of 19119072 is about 267.3964288827.

The spelling of 19119072 in words is "nineteen million, one hundred nineteen thousand, seventy-two".