72240240 has 120 divisors (see below), whose sum is σ = 234516240. Its totient is φ = 18394112.

The previous prime is 72240187. The next prime is 72240241. The reversal of 72240240 is 4204227.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72240241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126676 + ... + 127244.

It is an arithmetic number, because the mean of its divisors is an integer number (1954302).

Almost surely, 2^72240240 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 72240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117258120).

72240240 is an abundant number, since it is smaller than the sum of its proper divisors (162276000).

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

72240240 is a wasteful number, since it uses less digits than its factorization.

72240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 72240240 is about 8499.4258629627. The cubic root of 72240240 is about 416.4789540240.

Adding to 72240240 its reverse (4204227), we get a palindrome (76444467).

The spelling of 72240240 in words is "seventy-two million, two hundred forty thousand, two hundred forty".