19932672 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6285312.

The previous prime is 19932667. The next prime is 19932673. The reversal of 19932672 is 27623991.

It is a super-2 number, since 2×19932672² = 794622826119168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 19932672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19932673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28843 + ... + 29525.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^19932672 is an apocalyptic number.

19932672 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 19932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

19932672 is an abundant number, since it is smaller than the sum of its proper divisors (36045888).

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

19932672 is an equidigital number, since it uses as much as digits as its factorization.

19932672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 19932672 is about 4464.6021099310. The cubic root of 19932672 is about 271.1368253751.

The spelling of 19932672 in words is "nineteen million, nine hundred thirty-two thousand, six hundred seventy-two".