75612 has 12 divisors (see below), whose sum is σ = 176456. Its totient is φ = 25200.

The previous prime is 75611. The next prime is 75617. The reversal of 75612 is 21657.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75611) 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, 3139 + ... + 3162.

2⁷⁵⁶¹² is an apocalyptic number.

It is an amenable number.

75612 is an abundant number, since it is smaller than the sum of its proper divisors (100844).

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 (88228).

75612 is a wasteful number, since it uses less digits than its factorization.

75612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6308 (or 6306 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 75612 is about 274.9763626205. The cubic root of 75612 is about 42.2860295117.

The spelling of 75612 in words is "seventy-five thousand, six hundred twelve".