755952 has 20 divisors (see below), whose sum is σ = 1953000. Its totient is φ = 251968.

The previous prime is 755903. The next prime is 755959. The reversal of 755952 is 259557.

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 755952.

It is not an unprimeable number, because it can be changed into a prime (755959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7827 + ... + 7922.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

2⁷⁵⁵⁹⁵² is an apocalyptic number.

It is an amenable number.

755952 is an abundant number, since it is smaller than the sum of its proper divisors (1197048).

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

755952 is a wasteful number, since it uses less digits than its factorization.

755952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760 (or 15754 counting only the distinct ones).

The product of its digits is 15750, while the sum is 33.

The square root of 755952 is about 869.4550017108. The cubic root of 755952 is about 91.0957411225.

The spelling of 755952 in words is "seven hundred fifty-five thousand, nine hundred fifty-two".