752268 has 48 divisors (see below), whose sum is σ = 1975680. Its totient is φ = 220800.

The previous prime is 752263. The next prime is 752273. The reversal of 752268 is 862257.

It is an interprime number because it is at equal distance from previous prime (752263) and next prime (752273).

It is not an unprimeable number, because it can be changed into a prime (752263) by changing a digit.

752268 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 in 15 ways as a sum of consecutive naturals, for example, 5343 + ... + 5481.

It is an arithmetic number, because the mean of its divisors is an integer number (41160).

2⁷⁵²²⁶⁸ 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 752268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840).

752268 is an abundant number, since it is smaller than the sum of its proper divisors (1223412).

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

752268 is a wasteful number, since it uses less digits than its factorization.

752268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 196 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 752268 is about 867.3338457595. Note that the first 3 decimals coincide. The cubic root of 752268 is about 90.9475203587.

The spelling of 752268 in words is "seven hundred fifty-two thousand, two hundred sixty-eight".