20221728072 has 384 divisors, whose sum is σ = 69395356800. Its totient is φ = 4844593152.

The previous prime is 20221728061. The next prime is 20221728077. The reversal of 20221728072 is 27082712202.

It is not an unprimeable number, because it can be changed into a prime (20221728077) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7535643 + ... + 7538325.

It is an arithmetic number, because the mean of its divisors is an integer number (180717075).

Almost surely, 2^20221728072 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 20221728072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34697678400).

20221728072 is an abundant number, since it is smaller than the sum of its proper divisors (49173628728).

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

20221728072 is a wasteful number, since it uses less digits than its factorization.

20221728072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 20221728072 in words is "twenty billion, two hundred twenty-one million, seven hundred twenty-eight thousand, seventy-two".