755712 has 72 divisors (see below), whose sum is σ = 2235870. Its totient is φ = 245760.

The previous prime is 755707. The next prime is 755717. The reversal of 755712 is 217557.

It is an interprime number because it is at equal distance from previous prime (755707) and next prime (755717).

It can be written as a sum of positive squares in only one way, i.e., 746496 + 9216 = 864^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×755712² = 1142201253888, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755712.

It is not an unprimeable number, because it can be changed into a prime (755717) by changing a digit.

755712 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18412 + ... + 18452.

2⁷⁵⁵⁷¹² is an apocalyptic number.

755712 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117935).

755712 is an abundant number, since it is smaller than the sum of its proper divisors (1480158).

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

755712 is a wasteful number, since it uses less digits than its factorization.

755712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its digits is 2450, while the sum is 27.

The square root of 755712 is about 869.3169732612. The cubic root of 755712 is about 91.0860997290.

It can be divided in two parts, 7557 and 12, that added together give a square (7569 = 87²).

The spelling of 755712 in words is "seven hundred fifty-five thousand, seven hundred twelve".