1075087872 has 120 divisors (see below), whose sum is σ = 3122339220. Its totient is φ = 356106240.

The previous prime is 1075087859. The next prime is 1075087883. The reversal of 1075087872 is 2787805701.

1075087872 is a `hidden beast` number, since 1 + 0 + 7 + 508 + 78 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1043548416 + 31539456 = 32304^2 + 5616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833404 + ... + 834692.

Almost surely, 2^1075087872 is an apocalyptic number.

1075087872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561169610).

1075087872 is an abundant number, since it is smaller than the sum of its proper divisors (2047251348).

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

1075087872 is a wasteful number, since it uses less digits than its factorization.

1075087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The square root of 1075087872 is about 32788.5326295643. The cubic root of 1075087872 is about 1024.4277184552.

The spelling of 1075087872 in words is "one billion, seventy-five million, eighty-seven thousand, eight hundred seventy-two".