240672 has 48 divisors (see below), whose sum is σ = 665280. Its totient is φ = 76032.

The previous prime is 240659. The next prime is 240677. The reversal of 240672 is 276042.

It is a happy number.

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

It is a super-3 number, since 3×240672³ = 41821341131833344, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (240677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2154 + ... + 2262.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2²⁴⁰⁶⁷² 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 240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

240672 is an abundant number, since it is smaller than the sum of its proper divisors (424608).

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

240672 is a wasteful number, since it uses less digits than its factorization.

240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 240672 is about 490.5833262556. The cubic root of 240672 is about 62.2025977417.

The spelling of 240672 in words is "two hundred forty thousand, six hundred seventy-two".