72282240000 has 880 divisors, whose sum is σ = 276256569600. Its totient is φ = 18653184000.

The previous prime is 72282239969. The next prime is 72282240011. The reversal of 72282240000 is 4228227.

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 79 ways as a sum of consecutive naturals, for example, 812159956 + ... + 812160044.

It is an arithmetic number, because the mean of its divisors is an integer number (313927920).

Almost surely, 2^72282240000 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 72282240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138128284800).

72282240000 is an abundant number, since it is smaller than the sum of its proper divisors (203974329600).

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

72282240000 is an equidigital number, since it uses as much as digits as its factorization.

72282240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 72282240000 its reverse (4228227), we get a palindrome (72286468227).

The spelling of 72282240000 in words is "seventy-two billion, two hundred eighty-two million, two hundred forty thousand".