240396072 has 96 divisors (see below), whose sum is σ = 710193600. Its totient is φ = 66424320.

The previous prime is 240396049. The next prime is 240396083. The reversal of 240396072 is 270693042.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160704 + ... + 162192.

It is an arithmetic number, because the mean of its divisors is an integer number (7397850).

Almost surely, 2^240396072 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 240396072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355096800).

240396072 is an abundant number, since it is smaller than the sum of its proper divisors (469797528).

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

240396072 is a wasteful number, since it uses less digits than its factorization.

240396072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 240396072 is about 15504.7112839936. The cubic root of 240396072 is about 621.7881710274.

The spelling of 240396072 in words is "two hundred forty million, three hundred ninety-six thousand, seventy-two".