1072752768 has 384 divisors, whose sum is σ = 3646296000. Its totient is φ = 308551680.

The previous prime is 1072752761. The next prime is 1072752797. The reversal of 1072752768 is 8672572701.

1072752768 is a `hidden beast` number, since 107 + 275 + 276 + 8 = 666.

1072752768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1072752761) 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, 34604913 + ... + 34604943.

Almost surely, 2^1072752768 is an apocalyptic number.

1072752768 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 1072752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823148000).

1072752768 is an abundant number, since it is smaller than the sum of its proper divisors (2573543232).

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

1072752768 is a wasteful number, since it uses less digits than its factorization.

1072752768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1072752768 is about 32752.9047261460. The cubic root of 1072752768 is about 1023.6854909774.

The spelling of 1072752768 in words is "one billion, seventy-two million, seven hundred fifty-two thousand, seven hundred sixty-eight".