72922128000 has 256 divisors, whose sum is σ = 243361946880. Its totient is φ = 19315200000.

The previous prime is 72922127933. The next prime is 72922128007. The reversal of 72922128000 is 82122927.

It is not an unprimeable number, because it can be changed into a prime (72922128007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7242970 + ... + 7253030.

It is an arithmetic number, because the mean of its divisors is an integer number (950632605).

Almost surely, 2^72922128000 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 72922128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121680973440).

72922128000 is an abundant number, since it is smaller than the sum of its proper divisors (170439818880).

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

72922128000 is a wasteful number, since it uses less digits than its factorization.

72922128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10244 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 72922128000 in words is "seventy-two billion, nine hundred twenty-two million, one hundred twenty-eight thousand".