755972 has 48 divisors (see below), whose sum is σ = 1680000. Its totient is φ = 296352.

The previous prime is 755969. The next prime is 755977. The reversal of 755972 is 279557.

It is not an unprimeable number, because it can be changed into a prime (755977) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26054 + ... + 26082.

It is an arithmetic number, because the mean of its divisors is an integer number (35000).

755972 is a Friedman number, since it can be written as 7^5*(9*5-7^(-2)), using all its digits and the basic arithmetic operations.

2⁷⁵⁵⁹⁷² 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 755972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840000).

755972 is an abundant number, since it is smaller than the sum of its proper divisors (924028).

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

755972 is a wasteful number, since it uses less digits than its factorization.

755972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its digits is 22050, while the sum is 35.

The square root of 755972 is about 869.4665030926. The cubic root of 755972 is about 91.0965444798.

The spelling of 755972 in words is "seven hundred fifty-five thousand, nine hundred seventy-two".