752256 has 48 divisors (see below), whose sum is σ = 2168010. Its totient is φ = 250368.

The previous prime is 752251. The next prime is 752263. The reversal of 752256 is 652257.

It can be written as a sum of positive squares in only one way, i.e., 705600 + 46656 = 840^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 752256.

It is not an unprimeable number, because it can be changed into a prime (752251) by changing a digit.

752256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 826 + ... + 1478.

2⁷⁵²²⁵⁶ 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 752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084005).

752256 is an abundant number, since it is smaller than the sum of its proper divisors (1415754).

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

752256 is a wasteful number, since it uses less digits than its factorization.

752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 752256 is about 867.3269279804. The cubic root of 752256 is about 90.9470367651.

Subtracting from 752256 its reverse (652257), we obtain a palindrome (99999).

The spelling of 752256 in words is "seven hundred fifty-two thousand, two hundred fifty-six".