19144872 has 96 divisors (see below), whose sum is σ = 54966600. Its totient is φ = 6010368.

The previous prime is 19144871. The next prime is 19144877. The reversal of 19144872 is 27844191.

It can be written as a sum of positive squares in 4 ways, for example, as 19131876 + 12996 = 4374^2 + 114^2 .

It is a super-2 number, since 2×19144872² = 733052247792768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19144871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110578 + ... + 110750.

Almost surely, 2^19144872 is an apocalyptic number.

19144872 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 19144872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483300).

19144872 is an abundant number, since it is smaller than the sum of its proper divisors (35821728).

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

19144872 is a wasteful number, since it uses less digits than its factorization.

19144872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 19144872 is about 4375.4853445075. The cubic root of 19144872 is about 267.5166531106.

It can be divided in two parts, 1914 and 4872, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 19144872 in words is "nineteen million, one hundred forty-four thousand, eight hundred seventy-two".