19872720 has 120 divisors (see below), whose sum is σ = 76292736. Its totient is φ = 4541184.

The previous prime is 19872719. The next prime is 19872731. The reversal of 19872720 is 2727891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069 + ... + 7011.

Almost surely, 2^19872720 is an apocalyptic number.

19872720 is a gapful number since it is divisible by the number (10) 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 19872720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146368).

19872720 is an abundant number, since it is smaller than the sum of its proper divisors (56420016).

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

19872720 is a wasteful number, since it uses less digits than its factorization.

19872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 19872720 is about 4457.8829055954. The cubic root of 19872720 is about 270.8647173624.

The spelling of 19872720 in words is "nineteen million, eight hundred seventy-two thousand, seven hundred twenty".