72240743484 has 384 divisors, whose sum is σ = 241567334400. Its totient is φ = 18157582080.

The previous prime is 72240743461. The next prime is 72240743503. The reversal of 72240743484 is 48434704227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20410987 + ... + 20414525.

It is an arithmetic number, because the mean of its divisors is an integer number (629081600).

Almost surely, 2^72240743484 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 72240743484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120783667200).

72240743484 is an abundant number, since it is smaller than the sum of its proper divisors (169326590916).

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

72240743484 is a wasteful number, since it uses less digits than its factorization.

72240743484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 72240743484 in words is "seventy-two billion, two hundred forty million, seven hundred forty-three thousand, four hundred eighty-four".