4711160272 has 270 divisors, whose sum is σ = 12201703974. Its totient is φ = 1754887680.

The previous prime is 4711160191. The next prime is 4711160273. The reversal of 4711160272 is 2720611174.

It can be written as a sum of positive squares in 3 ways, for example, as 244109376 + 4467050896 = 15624^2 + 66836^2 .

It is a super-3 number, since 3×4711160272³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4711160273) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 127328638 + ... + 127328674.

Almost surely, 2^4711160272 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 4711160272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100851987).

4711160272 is an abundant number, since it is smaller than the sum of its proper divisors (7490543702).

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

4711160272 is a wasteful number, since it uses less digits than its factorization.

4711160272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 4711160272 is about 68637.8923918851. The cubic root of 4711160272 is about 1676.3934669340.

The spelling of 4711160272 in words is "four billion, seven hundred eleven million, one hundred sixty thousand, two hundred seventy-two".