240741072 has 240 divisors, whose sum is σ = 822739008. Its totient is φ = 67184640.

The previous prime is 240741037. The next prime is 240741101. The reversal of 240741072 is 270147042.

It is a happy number.

240741072 is a `hidden beast` number, since 240 + 7 + 410 + 7 + 2 = 666.

240741072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555768 + ... + 556200.

Almost surely, 2^240741072 is an apocalyptic number.

240741072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240741072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411369504).

240741072 is an abundant number, since it is smaller than the sum of its proper divisors (581997936).

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

240741072 is a wasteful number, since it uses less digits than its factorization.

240741072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 240741072 is about 15515.8329457364. The cubic root of 240741072 is about 622.0854781325.

The spelling of 240741072 in words is "two hundred forty million, seven hundred forty-one thousand, seventy-two".