752968 has 8 divisors (see below), whose sum is σ = 1411830. Its totient is φ = 376480.

The previous prime is 752933. The next prime is 752977. The reversal of 752968 is 869257.

It can be written as a sum of positive squares in only one way, i.e., 675684 + 77284 = 822^2 + 278^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is an unprimeable number.

752968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47053 + ... + 47068.

2⁷⁵²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

752968 is a deficient number, since it is larger than the sum of its proper divisors (658862).

752968 is a wasteful number, since it uses less digits than its factorization.

752968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94127 (or 94123 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 752968 is about 867.7372874321. The cubic root of 752968 is about 90.9757210921.

It can be divided in two parts, 7 and 52968, that added together give a triangular number (52975 = T₃₂₅).

The spelling of 752968 in words is "seven hundred fifty-two thousand, nine hundred sixty-eight".