1072128 has 44 divisors (see below), whose sum is σ = 2865800. Its totient is φ = 356352.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072128 is 8212701.

It is a super-2 number, since 2×1072128² = 2298916896768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2898 + ... + 3246.

2^1072128 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 1072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432900).

1072128 is an abundant number, since it is smaller than the sum of its proper divisors (1793672).

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

1072128 is an equidigital number, since it uses as much as digits as its factorization.

1072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 1072128 is about 1035.4361399913. The cubic root of 1072128 is about 102.3486721930.

Adding to 1072128 its reverse (8212701), we get a palindrome (9284829).

The spelling of 1072128 in words is "one million, seventy-two thousand, one hundred twenty-eight".