3872272560 has 160 divisors (see below), whose sum is σ = 13373519040. Its totient is φ = 920285184.

The previous prime is 3872272559. The next prime is 3872272577. The reversal of 3872272560 is 652722783.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69082 + ... + 111878.

It is an arithmetic number, because the mean of its divisors is an integer number (83584494).

Almost surely, 2^3872272560 is an apocalyptic number.

3872272560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686759520).

3872272560 is an abundant number, since it is smaller than the sum of its proper divisors (9501246480).

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

3872272560 is a wasteful number, since it uses less digits than its factorization.

3872272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42855 (or 42849 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3872272560 is about 62227.5868084244. The cubic root of 3872272560 is about 1570.3217267021.

The spelling of 3872272560 in words is "three billion, eight hundred seventy-two million, two hundred seventy-two thousand, five hundred sixty".