1072775088 has 240 divisors, whose sum is σ = 3865085952. Its totient is φ = 269568000.

The previous prime is 1072775087. The next prime is 1072775129. The reversal of 1072775088 is 8805772701.

1072775088 is a `hidden beast` number, since 1 + 0 + 72 + 77 + 508 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1072775087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342168 + ... + 345288.

Almost surely, 2^1072775088 is an apocalyptic number.

1072775088 is a gapful number since it is divisible by the number (18) 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 1072775088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932542976).

1072775088 is an abundant number, since it is smaller than the sum of its proper divisors (2792310864).

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

1072775088 is a wasteful number, since it uses less digits than its factorization.

1072775088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3175 counting only the distinct ones).

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

The square root of 1072775088 is about 32753.2454575115. The cubic root of 1072775088 is about 1023.6925906256.

The spelling of 1072775088 in words is "one billion, seventy-two million, seven hundred seventy-five thousand, eighty-eight".