756672 has 56 divisors (see below), whose sum is σ = 2292096. Its totient is φ = 215808.

The previous prime is 756667. The next prime is 756673. The reversal of 756672 is 276657.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 756672.

It is not an unprimeable number, because it can be changed into a prime (756673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1063 + ... + 1625.

2⁷⁵⁶⁶⁷² 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 756672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146048).

756672 is an abundant number, since it is smaller than the sum of its proper divisors (1535424).

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

756672 is a wasteful number, since it uses less digits than its factorization.

756672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 756672 is about 869.8689556479. The cubic root of 756672 is about 91.1246530646.

The spelling of 756672 in words is "seven hundred fifty-six thousand, six hundred seventy-two".