675752 has 32 divisors (see below), whose sum is σ = 1581120. Its totient is φ = 263040.

The previous prime is 675751. The next prime is 675781. The reversal of 675752 is 257576.

It is a happy number.

675752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (675751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (49410).

2⁶⁷⁵⁷⁵² 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 675752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790560).

675752 is an abundant number, since it is smaller than the sum of its proper divisors (905368).

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

675752 is a wasteful number, since it uses less digits than its factorization.

675752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its digits is 14700, while the sum is 32.

The square root of 675752 is about 822.0413614898. The cubic root of 675752 is about 87.7530957802.

The spelling of 675752 in words is "six hundred seventy-five thousand, seven hundred fifty-two".