72021818880 has 960 divisors, whose sum is σ = 286798786560. Its totient is φ = 16544563200.

The previous prime is 72021818863. The next prime is 72021818933. The reversal of 72021818880 is 8881812027.

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 (45).

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, 699240909 + ... + 699241011.

It is an arithmetic number, because the mean of its divisors is an integer number (298748736).

Almost surely, 2^72021818880 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 72021818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143399393280).

72021818880 is an abundant number, since it is smaller than the sum of its proper divisors (214776967680).

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

72021818880 is a wasteful number, since it uses less digits than its factorization.

72021818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 72021818880 in words is "seventy-two billion, twenty-one million, eight hundred eighteen thousand, eight hundred eighty".