756137052 has 96 divisors (see below), whose sum is σ = 2231631360. Its totient is φ = 219162240.

The previous prime is 756137017. The next prime is 756137059. The reversal of 756137052 is 250731657.

756137052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 756136998 and 756137016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756137059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13488 + ... + 41160.

It is an arithmetic number, because the mean of its divisors is an integer number (23246160).

Almost surely, 2^756137052 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 756137052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115815680).

756137052 is an abundant number, since it is smaller than the sum of its proper divisors (1475494308).

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

756137052 is a wasteful number, since it uses less digits than its factorization.

756137052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27720 (or 27712 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 756137052 is about 27497.9463233166. The cubic root of 756137052 is about 911.0317372566.

The spelling of 756137052 in words is "seven hundred fifty-six million, one hundred thirty-seven thousand, fifty-two".