1072085355 has 64 divisors (see below), whose sum is σ = 2188684800. Its totient is φ = 492428160.

The previous prime is 1072085351. The next prime is 1072085363. The reversal of 1072085355 is 5535802701.

It is not a de Polignac number, because 1072085355 - 2² = 1072085351 is a prime.

It is a super-2 number, since 2×1072085355² = 2298734016810952050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072085351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9217 + ... + 47213.

It is an arithmetic number, because the mean of its divisors is an integer number (34198200).

Almost surely, 2^1072085355 is an apocalyptic number.

1072085355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1072085355 is an abundant number, since it is smaller than the sum of its proper divisors (1116599445).

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

1072085355 is a wasteful number, since it uses less digits than its factorization.

1072085355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38041 (or 38035 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1072085355 is about 32742.7145331599. The cubic root of 1072085355 is about 1023.4731516691.

The spelling of 1072085355 in words is "one billion, seventy-two million, eighty-five thousand, three hundred fifty-five".