| Base | Representation |
|---|---|
| bin | 1000101011101… |
| … | …11101110000000 |
| 3 | 12002001202121000 |
| 4 | 10111313232000 |
| 5 | 122121421422 |
| 6 | 11121132000 |
| 7 | 1543101450 |
| oct | 425675600 |
| 9 | 162052530 |
| 10 | 72842112 |
| 11 | 381323a2 |
| 12 | 2048a000 |
| 13 | 12125355 |
| 14 | 9961d60 |
| 15 | 65dccac |
| hex | 4577b80 |
72842112 has 128 divisors (see below), whose sum is σ = 245779200. Its totient is φ = 20805120.
The previous prime is 72842111. The next prime is 72842123. The reversal of 72842112 is 21124827.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (72842111) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22687 + ... + 25697.
It is an arithmetic number, because the mean of its divisors is an integer number (1920150).
Almost surely, 272842112 is an apocalyptic number.
72842112 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 72842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122889600).
72842112 is an abundant number, since it is smaller than the sum of its proper divisors (172937088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72842112 is a wasteful number, since it uses less digits than its factorization.
72842112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3041 (or 3023 counting only the distinct ones).
The product of its digits is 1792, while the sum is 27.
The square root of 72842112 is about 8534.7590475654. The cubic root of 72842112 is about 417.6323927839.
Adding to 72842112 its reverse (21124827), we get a palindrome (93966939).
The spelling of 72842112 in words is "seventy-two million, eight hundred forty-two thousand, one hundred twelve".
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