872128752 has 160 divisors (see below), whose sum is σ = 2545551360. Its totient is φ = 255010560.

The previous prime is 872128721. The next prime is 872128759. The reversal of 872128752 is 257821278.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872128759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429149 + ... + 2429507.

It is an arithmetic number, because the mean of its divisors is an integer number (15909696).

Almost surely, 2^872128752 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 872128752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272775680).

872128752 is an abundant number, since it is smaller than the sum of its proper divisors (1673422608).

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

872128752 is a wasteful number, since it uses less digits than its factorization.

872128752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its digits is 125440, while the sum is 42.

The square root of 872128752 is about 29531.8260864444. The cubic root of 872128752 is about 955.4182545189.

It can be divided in two parts, 8721 and 28752, that added together give a palindrome (37473).

The spelling of 872128752 in words is "eight hundred seventy-two million, one hundred twenty-eight thousand, seven hundred fifty-two".