8725342752 has 288 divisors, whose sum is σ = 31064342400. Its totient is φ = 2265145344.

The previous prime is 8725342741. The next prime is 8725342757. The reversal of 8725342752 is 2572435278.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8725342752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8725342698 and 8725342707.

It is not an unprimeable number, because it can be changed into a prime (8725342757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989499 + ... + 998277.

It is an arithmetic number, because the mean of its divisors is an integer number (107862300).

Almost surely, 2^8725342752 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 8725342752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532171200).

8725342752 is an abundant number, since it is smaller than the sum of its proper divisors (22338999648).

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

8725342752 is a wasteful number, since it uses less digits than its factorization.

8725342752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8837 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 8725342752 is about 93409.5431527208. The cubic root of 8725342752 is about 2058.7052183406.

The spelling of 8725342752 in words is "eight billion, seven hundred twenty-five million, three hundred forty-two thousand, seven hundred fifty-two".