75352 has 8 divisors (see below), whose sum is σ = 141300. Its totient is φ = 37672.

The previous prime is 75347. The next prime is 75353. The reversal of 75352 is 25357.

It is a tau number, because it is divible by the number of its divisors (8).

It is a d-powerful number, because it can be written as 7² + 5⁴ + 3¹⁰ + 5⁶ + 2² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4702 + ... + 4717.

2⁷⁵³⁵² is an apocalyptic number.

It is an amenable number.

75352 is a deficient number, since it is larger than the sum of its proper divisors (65948).

75352 is a wasteful number, since it uses less digits than its factorization.

75352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9421 counting only the distinct ones).

The product of its digits is 1050, while the sum is 22.

The square root of 75352 is about 274.5031875953. The cubic root of 75352 is about 42.2375054962.

The spelling of 75352 in words is "seventy-five thousand, three hundred fifty-two".