72288175840 has 192 divisors, whose sum is σ = 181263785472. Its totient is φ = 27198259200.

The previous prime is 72288175823. The next prime is 72288175913. The reversal of 72288175840 is 4857188227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75852804 + ... + 75853756.

It is an arithmetic number, because the mean of its divisors is an integer number (944082216).

Almost surely, 2^72288175840 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 72288175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90631892736).

72288175840 is an abundant number, since it is smaller than the sum of its proper divisors (108975609632).

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

72288175840 is a wasteful number, since it uses less digits than its factorization.

72288175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 52.

The spelling of 72288175840 in words is "seventy-two billion, two hundred eighty-eight million, one hundred seventy-five thousand, eight hundred forty".