8905201272 has 192 divisors, whose sum is σ = 28095724800. Its totient is φ = 2520967680.

The previous prime is 8905201231. The next prime is 8905201289. The reversal of 8905201272 is 2721025098.

8905201272 is a `hidden beast` number, since 8 + 9 + 0 + 520 + 127 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777604 + ... + 788972.

It is an arithmetic number, because the mean of its divisors is an integer number (146331900).

Almost surely, 2^8905201272 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 8905201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047862400).

8905201272 is an abundant number, since it is smaller than the sum of its proper divisors (19190523528).

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

8905201272 is a wasteful number, since it uses less digits than its factorization.

8905201272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11451 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8905201272 is about 94367.3739806296. The cubic root of 8905201272 is about 2072.7547221287.

The spelling of 8905201272 in words is "eight billion, nine hundred five million, two hundred one thousand, two hundred seventy-two".