752503968 has 72 divisors (see below), whose sum is σ = 2252577600. Its totient is φ = 237631104.

The previous prime is 752503957. The next prime is 752504029. The reversal of 752503968 is 869305257.

It is a happy number.

752503968 is a `hidden beast` number, since 7 + 5 + 250 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×752503968³ (a number of 28 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 63288 + ... + 74231.

It is an arithmetic number, because the mean of its divisors is an integer number (31285800).

Almost surely, 2^752503968 is an apocalyptic number.

It is an amenable number.

752503968 is an abundant number, since it is smaller than the sum of its proper divisors (1500073632).

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

752503968 is a wasteful number, since it uses less digits than its factorization.

752503968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137554 (or 137543 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 752503968 is about 27431.8057735906. The cubic root of 752503968 is about 909.5702869927.

The spelling of 752503968 in words is "seven hundred fifty-two million, five hundred three thousand, nine hundred sixty-eight".