243072 has 48 divisors (see below), whose sum is σ = 702780. Its totient is φ = 80640.

The previous prime is 243031. The next prime is 243073. The reversal of 243072 is 270342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1047 + ... + 1257.

2²⁴³⁰⁷² 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 243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351390).

243072 is an abundant number, since it is smaller than the sum of its proper divisors (459708).

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

243072 is a wasteful number, since it uses less digits than its factorization.

243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 243072 is about 493.0233260202. The cubic root of 243072 is about 62.4086772943.

The spelling of 243072 in words is "two hundred forty-three thousand, seventy-two", and thus it is an iban number.