10752768 has 108 divisors (see below), whose sum is σ = 33480720. Its totient is φ = 3299328.

The previous prime is 10752757. The next prime is 10752787. The reversal of 10752768 is 86725701.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29773 + ... + 30131.

Almost surely, 2^10752768 is an apocalyptic number.

10752768 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 10752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740360).

10752768 is an abundant number, since it is smaller than the sum of its proper divisors (22727952).

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

10752768 is a wasteful number, since it uses less digits than its factorization.

10752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 10752768 is about 3279.1413510247. The cubic root of 10752768 is about 220.7191890790.

The spelling of 10752768 in words is "ten million, seven hundred fifty-two thousand, seven hundred sixty-eight".