| Base | Representation |
|---|---|
| bin | 1000100110010… |
| … | …01010110000000 |
| 3 | 12000201110211200 |
| 4 | 10103021112000 |
| 5 | 121431042442 |
| 6 | 11053541200 |
| 7 | 1534035225 |
| oct | 423112600 |
| 9 | 160643750 |
| 10 | 72127872 |
| 11 | 37794813 |
| 12 | 201a4800 |
| 13 | 11c3521b |
| 14 | 981794c |
| 15 | 64eb34c |
| hex | 44c9580 |
72127872 has 192 divisors, whose sum is σ = 229132800. Its totient is φ = 21676032.
The previous prime is 72127849. The next prime is 72127873. The reversal of 72127872 is 27872127.
It is a tau number, because it is divible by the number of its divisors (192).
It is a super-3 number, since 3×721278723 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (72127873) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567873 + ... + 567999.
It is an arithmetic number, because the mean of its divisors is an integer number (1193400).
Almost surely, 272127872 is an apocalyptic number.
72127872 is a gapful number since it is divisible by the number (72) 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 72127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).
72127872 is an abundant number, since it is smaller than the sum of its proper divisors (157004928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72127872 is a wasteful number, since it uses less digits than its factorization.
72127872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 193 (or 178 counting only the distinct ones).
The product of its digits is 21952, while the sum is 36.
The square root of 72127872 is about 8492.8129615576. The cubic root of 72127872 is about 416.2629008798.
Adding to 72127872 its reverse (27872127), we get a palindrome (99999999).
The spelling of 72127872 in words is "seventy-two million, one hundred twenty-seven thousand, eight hundred seventy-two".
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