240072723072 has 768 divisors, whose sum is σ = 894314131200. Its totient is φ = 62840365056.

The previous prime is 240072723053. The next prime is 240072723073. The reversal of 240072723072 is 270327270042.

It is a happy number.

It is a super-2 number, since 2×240072723072² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (240072723073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 367645498 + ... + 367646150.

It is an arithmetic number, because the mean of its divisors is an integer number (1164471525).

Almost surely, 2^240072723072 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 240072723072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447157065600).

240072723072 is an abundant number, since it is smaller than the sum of its proper divisors (654241408128).

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

240072723072 is a wasteful number, since it uses less digits than its factorization.

240072723072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 240072723072 in words is "two hundred forty billion, seventy-two million, seven hundred twenty-three thousand, seventy-two".