752896 has 36 divisors (see below), whose sum is σ = 1600452. Its totient is φ = 352256.

The previous prime is 752891. The next prime is 752903. The reversal of 752896 is 698257.

It can be written as a sum of positive squares in 2 ways, for example, as 640000 + 112896 = 800^2 + 336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4266 + ... + 4438.

It is an arithmetic number, because the mean of its divisors is an integer number (44457).

2⁷⁵²⁸⁹⁶ 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 752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800226).

752896 is an abundant number, since it is smaller than the sum of its proper divisors (847556).

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

752896 is a wasteful number, since it uses less digits than its factorization.

752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

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

The square root of 752896 is about 867.6957992292. The cubic root of 752896 is about 90.9728212518.

The spelling of 752896 in words is "seven hundred fifty-two thousand, eight hundred ninety-six".