72733440000 has 960 divisors, whose sum is σ = 275095941120. Its totient is φ = 16957440000.

The previous prime is 72733439983. The next prime is 72733440011. The reversal of 72733440000 is 4433727.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 72733440000.

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, 1547519977 + ... + 1547520023.

It is an arithmetic number, because the mean of its divisors is an integer number (286558272).

Almost surely, 2^72733440000 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 72733440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137547970560).

72733440000 is an abundant number, since it is smaller than the sum of its proper divisors (202362501120).

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

72733440000 is a wasteful number, since it uses less digits than its factorization.

72733440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

Adding to 72733440000 its reverse (4433727), we get a palindrome (72737873727).

The spelling of 72733440000 in words is "seventy-two billion, seven hundred thirty-three million, four hundred forty thousand".