1072143128 has 96 divisors (see below), whose sum is σ = 2400840000. Its totient is φ = 447422976.

The previous prime is 1072143067. The next prime is 1072143133. The reversal of 1072143128 is 8213412701.

It is a super-2 number, since 2×1072143128² = 2298981773835248768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072143128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755958 + ... + 2756346.

It is an arithmetic number, because the mean of its divisors is an integer number (25008750).

Almost surely, 2^1072143128 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 1072143128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200420000).

1072143128 is an abundant number, since it is smaller than the sum of its proper divisors (1328696872).

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

1072143128 is a wasteful number, since it uses less digits than its factorization.

1072143128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1072143128 is about 32743.5967480666. The cubic root of 1072143128 is about 1023.4915357937.

Adding to 1072143128 its reverse (8213412701), we get a palindrome (9285555829).

The spelling of 1072143128 in words is "one billion, seventy-two million, one hundred forty-three thousand, one hundred twenty-eight".