872272861020 has 288 divisors, whose sum is σ = 3033439315200. Its totient is φ = 207875099520.

The previous prime is 872272861003. The next prime is 872272861147. The reversal of 872272861020 is 20168272278.

872272861020 is a `hidden beast` number, since 8 + 7 + 2 + 2 + 7 + 2 + 8 + 610 + 20 = 666.

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, 3741927 + ... + 3968193.

It is an arithmetic number, because the mean of its divisors is an integer number (10532775400).

Almost surely, 2^872272861020 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 872272861020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516719657600).

872272861020 is an abundant number, since it is smaller than the sum of its proper divisors (2161166454180).

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

872272861020 is a wasteful number, since it uses less digits than its factorization.

872272861020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226366 (or 226347 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 872272861020 in words is "eight hundred seventy-two billion, two hundred seventy-two million, eight hundred sixty-one thousand, twenty".