75712 has 42 divisors (see below), whose sum is σ = 185928. Its totient is φ = 29952.

The previous prime is 75709. The next prime is 75721. The reversal of 75712 is 21757.

75712 = T₁₃ + T₁₄ + ... + T₇₆.

It is a congruent number.

It is an unprimeable number.

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 in 5 ways as a sum of consecutive naturals, for example, 5818 + ... + 5830.

2⁷⁵⁷¹² 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 75712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92964).

75712 is an abundant number, since it is smaller than the sum of its proper divisors (110216).

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

75712 is a wasteful number, since it uses less digits than its factorization.

75712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 22 counting only the distinct ones).

The product of its digits is 490, while the sum is 22.

The square root of 75712 is about 275.1581363507. The cubic root of 75712 is about 42.3046629745.

It can be divided in two parts, 75 and 712, that added together give a palindrome (787).

The spelling of 75712 in words is "seventy-five thousand, seven hundred twelve".