19072755072 has 384 divisors, whose sum is σ = 65493792000. Its totient is φ = 5412096000.

The previous prime is 19072755071. The next prime is 19072755089. The reversal of 19072755072 is 27055727091.

19072755072 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 27 + 550 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19072755071) 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 47 ways as a sum of consecutive naturals, for example, 54649554 + ... + 54649902.

It is an arithmetic number, because the mean of its divisors is an integer number (170556750).

Almost surely, 2^19072755072 is an apocalyptic number.

19072755072 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 19072755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32746896000).

19072755072 is an abundant number, since it is smaller than the sum of its proper divisors (46421036928).

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

19072755072 is an equidigital number, since it uses as much as digits as its factorization.

19072755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 19072755072 in words is "nineteen billion, seventy-two million, seven hundred fifty-five thousand, seventy-two".