72943200000 has 864 divisors, whose sum is σ = 295083613440. Its totient is φ = 17625600000.

The previous prime is 72943199977. The next prime is 72943200019. The reversal of 72943200000 is 234927.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 237599847 + ... + 237600153.

It is an arithmetic number, because the mean of its divisors is an integer number (341531960).

Almost surely, 2^72943200000 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 72943200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147541806720).

72943200000 is an abundant number, since it is smaller than the sum of its proper divisors (222140413440).

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

72943200000 is an equidigital number, since it uses as much as digits as its factorization.

72943200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 72943200000 its reverse (234927), we get a palindrome (72943434927).

The spelling of 72943200000 in words is "seventy-two billion, nine hundred forty-three million, two hundred thousand".