240072 has 32 divisors (see below), whose sum is σ = 686400. Its totient is φ = 68544.

The previous prime is 240059. The next prime is 240073. The reversal of 240072 is 270042.

240072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

240072 is a modest number, since divided by 72 gives 24 as remainder.

It is not an unprimeable number, because it can be changed into a prime (240073) by changing a digit.

240072 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, 547 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (21450).

2²⁴⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

240072 is an abundant number, since it is smaller than the sum of its proper divisors (446328).

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

240072 is a wasteful number, since it uses less digits than its factorization.

240072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 240072 is about 489.9714277384. The cubic root of 240072 is about 62.1508639627.

The spelling of 240072 in words is "two hundred forty thousand, seventy-two", and thus it is an iban number.