220072128 has 56 divisors (see below), whose sum is σ = 584575920. Its totient is φ = 73067520.

The previous prime is 220072109. The next prime is 220072129. The reversal of 220072128 is 821270022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 220072098 and 220072107.

It is not an unprimeable number, because it can be changed into a prime (220072129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49518 + ... + 53778.

Almost surely, 2^220072128 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 220072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292287960).

220072128 is an abundant number, since it is smaller than the sum of its proper divisors (364503792).

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

220072128 is a wasteful number, since it uses less digits than its factorization.

220072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4545 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 220072128 is about 14834.8282093188. The cubic root of 220072128 is about 603.7470396659.

The spelling of 220072128 in words is "two hundred twenty million, seventy-two thousand, one hundred twenty-eight".