19272 has 32 divisors (see below), whose sum is σ = 53280. Its totient is φ = 5760.

The previous prime is 19267. The next prime is 19273. The reversal of 19272 is 27291.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19273) by changing a digit.

19272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (1665).

2¹⁹²⁷² is an apocalyptic number.

19272 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 19272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26640).

19272 is an abundant number, since it is smaller than the sum of its proper divisors (34008).

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

19272 is a wasteful number, since it uses less digits than its factorization.

19272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 252, while the sum is 21.

The square root of 19272 is about 138.8236291126. The cubic root of 19272 is about 26.8107478982.

It can be divided in two parts, 192 and 72, that multiplied together give a cube (13824 = 24³).

The spelling of 19272 in words is "nineteen thousand, two hundred seventy-two".