75312 has 30 divisors (see below), whose sum is σ = 211172. Its totient is φ = 25056.

The previous prime is 75307. The next prime is 75323. The reversal of 75312 is 21357.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75312.

It is an unprimeable number.

75312 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, 118 + ... + 405.

2⁷⁵³¹² is an apocalyptic number.

75312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75312 is an abundant number, since it is smaller than the sum of its proper divisors (135860).

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

75312 is a wasteful number, since it uses less digits than its factorization.

75312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 75312 is about 274.4303190247. The cubic root of 75312 is about 42.2300303606.

Adding to 75312 its reverse (21357), we get a palindrome (96669).

The spelling of 75312 in words is "seventy-five thousand, three hundred twelve".