240093072 has 100 divisors (see below), whose sum is σ = 706523356. Its totient is φ = 78693120.

The previous prime is 240093053. The next prime is 240093079. The reversal of 240093072 is 270390042.

240093072 is digitally balanced in base 2, 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 93779856 + 146313216 = 9684^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (240093079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77538 + ... + 80574.

Almost surely, 2^240093072 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 240093072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353261678).

240093072 is an abundant number, since it is smaller than the sum of its proper divisors (466430284).

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

240093072 is a wasteful number, since it uses less digits than its factorization.

240093072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 240093072 is about 15494.9369795427. The cubic root of 240093072 is about 621.5268231264.

The spelling of 240093072 in words is "two hundred forty million, ninety-three thousand, seventy-two".