| Base | Representation |
|---|---|
| bin | 10000100010010100011110… |
| … | …111010111110100000000000 |
| 3 | 100112111122121121120011222000 |
| 4 | 100202110132322332200000 |
| 5 | 34013030301200000000 |
| 6 | 414402225304144000 |
| 7 | 21214236546115140 |
| oct | 2042243672764000 |
| 9 | 315448547504860 |
| 10 | 72727200000000 |
| 11 | 2119a483451147 |
| 12 | 81a7028168000 |
| 13 | 31771b7972b60 |
| 14 | 13d602dc40920 |
| 15 | 861c0496a000 |
| hex | 42251eebe800 |
72727200000000 has 3456 divisors, whose sum is σ = 340396700716800. Its totient is φ = 14929920000000.
The previous prime is 72727199999969. The next prime is 72727200000031. The reversal of 72727200000000 is 272727.
It is an interprime number because it is at equal distance from previous prime (72727199999969) and next prime (72727200000031).
It is a tau number, because it is divible by the number of its divisors (3456).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 72727200000000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1965599999982 + ... + 1965600000018.
Almost surely, 272727200000000 is an apocalyptic number.
72727200000000 is a gapful number since it is divisible by the number (70) 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 72727200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170198350358400).
72727200000000 is an abundant number, since it is smaller than the sum of its proper divisors (267669500716800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72727200000000 is an frugal number, since it uses more digits than its factorization.
72727200000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 2744, while the sum is 27.
Adding to 72727200000000 its reverse (272727), we get a palindrome (72727200272727).
The spelling of 72727200000000 in words is "seventy-two trillion, seven hundred twenty-seven billion, two hundred million", and thus it is an aban number.
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