752672960 has 224 divisors, whose sum is σ = 2119944960. Its totient is φ = 251854848.

The previous prime is 752672929. The next prime is 752673001. The reversal of 752672960 is 69276257.

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 31 ways as a sum of consecutive naturals, for example, 2050697 + ... + 2051063.

It is an arithmetic number, because the mean of its divisors is an integer number (9464040).

Almost surely, 2^752672960 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 752672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059972480).

752672960 is an abundant number, since it is smaller than the sum of its proper divisors (1367272000).

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

752672960 is a wasteful number, since it uses less digits than its factorization.

752672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 44.

The square root of 752672960 is about 27434.8858207939. The cubic root of 752672960 is about 909.6383701761.

The spelling of 752672960 in words is "seven hundred fifty-two million, six hundred seventy-two thousand, nine hundred sixty".