305712 has 60 divisors (see below), whose sum is σ = 938184. Its totient is φ = 92160.

The previous prime is 305663. The next prime is 305717. The reversal of 305712 is 217503.

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

It is not an unprimeable number, because it can be changed into a prime (305717) by changing a digit.

305712 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1488 + ... + 1680.

2³⁰⁵⁷¹² 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 305712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469092).

305712 is an abundant number, since it is smaller than the sum of its proper divisors (632472).

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

305712 is a wasteful number, since it uses less digits than its factorization.

305712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

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

The square root of 305712 is about 552.9122896084. The cubic root of 305712 is about 67.3654934652.

Subtracting from 305712 its reverse (217503), we obtain a square (88209 = 297²).

The spelling of 305712 in words is "three hundred five thousand, seven hundred twelve".