75252 has 12 divisors (see below), whose sum is σ = 175616. Its totient is φ = 25080.

The previous prime is 75239. The next prime is 75253. The reversal of 75252 is 25257.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75252.

It is not an unprimeable number, because it can be changed into a prime (75253) 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, 3124 + ... + 3147.

2⁷⁵²⁵² is an apocalyptic number.

It is an amenable number.

75252 is an abundant number, since it is smaller than the sum of its proper divisors (100364).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87808).

75252 is a wasteful number, since it uses less digits than its factorization.

75252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6276 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 75252 is about 274.3209798758. The cubic root of 75252 is about 42.2188126928.

The spelling of 75252 in words is "seventy-five thousand, two hundred fifty-two".