1472128 has 64 divisors (see below), whose sum is σ = 3525120. Its totient is φ = 599040.

The previous prime is 1472117. The next prime is 1472137. The reversal of 1472128 is 8212741.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27750 + ... + 27802.

It is an arithmetic number, because the mean of its divisors is an integer number (55080).

2^1472128 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 1472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762560).

1472128 is an abundant number, since it is smaller than the sum of its proper divisors (2052992).

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

1472128 is an equidigital number, since it uses as much as digits as its factorization.

1472128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its digits is 896, while the sum is 25.

The square root of 1472128 is about 1213.3128203394. The cubic root of 1472128 is about 113.7579763356.

Adding to 1472128 its reverse (8212741), we get a palindrome (9684869).

It can be divided in two parts, 1472 and 128, that added together give a square (1600 = 40²).

The spelling of 1472128 in words is "one million, four hundred seventy-two thousand, one hundred twenty-eight".