872285220 has 96 divisors (see below), whose sum is σ = 2771596800. Its totient is φ = 227653632.

The previous prime is 872285201. The next prime is 872285221. The reversal of 872285220 is 22582278.

It is a super-4 number, since 4×872285220⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (872285221) 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, 8196 + ... + 42564.

It is an arithmetic number, because the mean of its divisors is an integer number (28870800).

Almost surely, 2^872285220 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 872285220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385798400).

872285220 is an abundant number, since it is smaller than the sum of its proper divisors (1899311580).

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

872285220 is a wasteful number, since it uses less digits than its factorization.

872285220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34434 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 872285220 is about 29534.4751096071. The cubic root of 872285220 is about 955.4753880724.

The spelling of 872285220 in words is "eight hundred seventy-two million, two hundred eighty-five thousand, two hundred twenty".