240528672 has 72 divisors (see below), whose sum is σ = 690859260. Its totient is φ = 79372800.

The previous prime is 240528661. The next prime is 240528703. The reversal of 240528672 is 276825042.

240528672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176464656 + 64064016 = 13284^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24954 + ... + 33222.

Almost surely, 2^240528672 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 240528672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345429630).

240528672 is an abundant number, since it is smaller than the sum of its proper divisors (450330588).

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

240528672 is a wasteful number, since it uses less digits than its factorization.

240528672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 240528672 is about 15508.9868141023. The cubic root of 240528672 is about 621.9024739998.

The spelling of 240528672 in words is "two hundred forty million, five hundred twenty-eight thousand, six hundred seventy-two".