19720272 has 160 divisors (see below), whose sum is σ = 63745920. Its totient is φ = 5191680.

The previous prime is 19720249. The next prime is 19720279. The reversal of 19720272 is 27202791.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19720279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160008 + ... + 1160024.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 2^19720272 is an apocalyptic number.

19720272 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 19720272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31872960).

19720272 is an abundant number, since it is smaller than the sum of its proper divisors (44025648).

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

19720272 is a wasteful number, since it uses less digits than its factorization.

19720272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 19720272 is about 4440.7512877890. The cubic root of 19720272 is about 270.1703177799.

The spelling of 19720272 in words is "nineteen million, seven hundred twenty thousand, two hundred seventy-two".