1072528785 has 24 divisors (see below), whose sum is σ = 1859817960. Its totient is φ = 571779072.

The previous prime is 1072528771. The next prime is 1072528813. The reversal of 1072528785 is 5878252701.

It can be written as a sum of positive squares in 4 ways, for example, as 619860609 + 452668176 = 24897^2 + 21276^2 .

It is not a de Polignac number, because 1072528785 - 2¹⁸ = 1072266641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1072528785.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190227 + ... + 195783.

It is an arithmetic number, because the mean of its divisors is an integer number (77492415).

Almost surely, 2^1072528785 is an apocalyptic number.

1072528785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072528785 is a deficient number, since it is larger than the sum of its proper divisors (787289175).

1072528785 is a wasteful number, since it uses less digits than its factorization.

1072528785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 1072528785 is about 32749.4852631305. The cubic root of 1072528785 is about 1023.6142399822.

The spelling of 1072528785 in words is "one billion, seventy-two million, five hundred twenty-eight thousand, seven hundred eighty-five".