756671132 has 72 divisors (see below), whose sum is σ = 1603022400. Its totient is φ = 311235456.

The previous prime is 756671107. The next prime is 756671137. The reversal of 756671132 is 231176657.

756671132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×756671132² = 1145102404004322848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756671137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358198 + ... + 1358754.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 2^756671132 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 756671132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801511200).

756671132 is an abundant number, since it is smaller than the sum of its proper divisors (846351268).

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

756671132 is a wasteful number, since it uses less digits than its factorization.

756671132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 834 counting only the distinct ones).

The product of its digits is 52920, while the sum is 38.

The square root of 756671132 is about 27507.6558797728. The cubic root of 756671132 is about 911.2461822068.

The spelling of 756671132 in words is "seven hundred fifty-six million, six hundred seventy-one thousand, one hundred thirty-two".