2272128 has 64 divisors (see below), whose sum is σ = 6197520. Its totient is φ = 737280.

The previous prime is 2272117. The next prime is 2272129. The reversal of 2272128 is 8212722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 2272098 and 2272107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272129) 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, 23376 + ... + 23472.

2^2272128 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 2272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098760).

2272128 is an abundant number, since it is smaller than the sum of its proper divisors (3925392).

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

2272128 is an equidigital number, since it uses as much as digits as its factorization.

2272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

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

The square root of 2272128 is about 1507.3579535067. The cubic root of 2272128 is about 131.4652377669.

The spelling of 2272128 in words is "two million, two hundred seventy-two thousand, one hundred twenty-eight".