272113632 has 216 divisors, whose sum is σ = 917817264. Its totient is φ = 74898432.

The previous prime is 272113579. The next prime is 272113637. The reversal of 272113632 is 236311272.

272113632 is a `hidden beast` number, since 2 + 7 + 21 + 1 + 3 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 272113596 and 272113605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272113637) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3727548 + ... + 3727620.

It is an arithmetic number, because the mean of its divisors is an integer number (4249154).

Almost surely, 2^272113632 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 272113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458908632).

272113632 is an abundant number, since it is smaller than the sum of its proper divisors (645703632).

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

272113632 is a wasteful number, since it uses less digits than its factorization.

272113632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 128 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 272113632 is about 16495.8671187664. The cubic root of 272113632 is about 648.0125740587.

The spelling of 272113632 in words is "two hundred seventy-two million, one hundred thirteen thousand, six hundred thirty-two".