756112 has 40 divisors (see below), whose sum is σ = 1724096. Its totient is φ = 314496.

The previous prime is 756101. The next prime is 756127. The reversal of 756112 is 211657.

756112 is nontrivially palindromic in base 3.

It is an unprimeable number.

756112 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 7 ways as a sum of consecutive naturals, for example, 4738 + ... + 4894.

2⁷⁵⁶¹¹² 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 756112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862048).

756112 is an abundant number, since it is smaller than the sum of its proper divisors (967984).

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

756112 is a wasteful number, since it uses less digits than its factorization.

756112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 756112 is about 869.5470085050. The cubic root of 756112 is about 91.1021675845.

Adding to 756112 its reverse (211657), we get a palindrome (967769).

It can be divided in two parts, 756 and 112, that added together give a palindrome (868).

The spelling of 756112 in words is "seven hundred fifty-six thousand, one hundred twelve".