19747872 has 72 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6529920.

The previous prime is 19747843. The next prime is 19747873. The reversal of 19747872 is 27874791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (19747873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54829 + ... + 55187.

It is an arithmetic number, because the mean of its divisors is an integer number (786240).

Almost surely, 2^19747872 is an apocalyptic number.

19747872 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 19747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

19747872 is an abundant number, since it is smaller than the sum of its proper divisors (36861408).

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

19747872 is a wasteful number, since it uses less digits than its factorization.

19747872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 19747872 is about 4443.8577835030. The cubic root of 19747872 is about 270.2963002331.

The spelling of 19747872 in words is "nineteen million, seven hundred forty-seven thousand, eight hundred seventy-two".