1072104528 has 160 divisors (see below), whose sum is σ = 3095551872. Its totient is φ = 319672320.

The previous prime is 1072104521. The next prime is 1072104547. The reversal of 1072104528 is 8254012701.

1072104528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072104528² = 2298816237916205568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072104495 and 1072104504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072104521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6197050 + ... + 6197222.

Almost surely, 2^1072104528 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 1072104528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547775936).

1072104528 is an abundant number, since it is smaller than the sum of its proper divisors (2023447344).

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

1072104528 is a wasteful number, since it uses less digits than its factorization.

1072104528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1072104528 is about 32743.0073145397. The cubic root of 1072104528 is about 1023.4792528418.

The spelling of 1072104528 in words is "one billion, seventy-two million, one hundred four thousand, five hundred twenty-eight".