243972 has 36 divisors (see below), whose sum is σ = 642096. Its totient is φ = 81000.

The previous prime is 243953. The next prime is 243973. The reversal of 243972 is 279342.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 243972.

It is not an unprimeable number, because it can be changed into a prime (243973) by changing a digit.

243972 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 11 ways as a sum of consecutive naturals, for example, 847 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2²⁴³⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321048).

243972 is an abundant number, since it is smaller than the sum of its proper divisors (398124).

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

243972 is a wasteful number, since it uses less digits than its factorization.

243972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 243972 is about 493.9352184244. The cubic root of 243972 is about 62.4856073525.

It can be divided in two parts, 243 and 972, that multiplied together give a square (236196 = 486²).

The spelling of 243972 in words is "two hundred forty-three thousand, nine hundred seventy-two".