19572 has 24 divisors (see below), whose sum is σ = 52416. Its totient is φ = 5568.

The previous prime is 19571. The next prime is 19577. The reversal of 19572 is 27591.

19572 is nontrivially palindromic in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19571) 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 7 ways as a sum of consecutive naturals, for example, 33 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2¹⁹⁵⁷² is an apocalyptic number.

19572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19572 is an abundant number, since it is smaller than the sum of its proper divisors (32844).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208).

19572 is a wasteful number, since it uses less digits than its factorization.

19572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 19572 is about 139.8999642602. The cubic root of 19572 is about 26.9491498338.

Adding to 19572 its product of digits (630), we get a palindrome (20202).

The spelling of 19572 in words is "nineteen thousand, five hundred seventy-two".