752381568 has 128 divisors (see below), whose sum is σ = 2297448000. Its totient is φ = 242113536.

The previous prime is 752381557. The next prime is 752381599. The reversal of 752381568 is 865183257.

752381568 is a `hidden beast` number, since 7 + 5 + 2 + 3 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×752381568² = 1132156047732277248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96471 + ... + 103977.

Almost surely, 2^752381568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148724000).

752381568 is an abundant number, since it is smaller than the sum of its proper divisors (1545066432).

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

752381568 is a wasteful number, since it uses less digits than its factorization.

752381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7541 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 752381568 is about 27429.5746959372. The cubic root of 752381568 is about 909.5209683425.

The spelling of 752381568 in words is "seven hundred fifty-two million, three hundred eighty-one thousand, five hundred sixty-eight".