756042 has 32 divisors (see below), whose sum is σ = 1769472. Its totient is φ = 210864.

The previous prime is 756023. The next prime is 756043. The reversal of 756042 is 240657.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 756042.

It is not an unprimeable number, because it can be changed into a prime (756043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (55296).

2⁷⁵⁶⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884736).

756042 is an abundant number, since it is smaller than the sum of its proper divisors (1013430).

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

756042 is a wasteful number, since it uses less digits than its factorization.

756042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 756042 is about 869.5067567305. The cubic root of 756042 is about 91.0993561189.

Adding to 756042 its reverse (240657), we get a palindrome (996699).

The spelling of 756042 in words is "seven hundred fifty-six thousand, forty-two".