| Base | Representation |
|---|---|
| bin | 1000101001010… |
| … | …10111000101000 |
| 3 | 12001110202220000 |
| 4 | 10110222320220 |
| 5 | 122031334100 |
| 6 | 11110303000 |
| 7 | 1540321101 |
| oct | 424527050 |
| 9 | 161422800 |
| 10 | 72527400 |
| 11 | 37a37a00 |
| 12 | 20357a60 |
| 13 | 1204502a |
| 14 | 98bd3a8 |
| 15 | 6579900 |
| hex | 452ae28 |
72527400 has 360 divisors, whose sum is σ = 284363310. Its totient is φ = 17107200.
The previous prime is 72527359. The next prime is 72527407. The reversal of 72527400 is 472527.
72527400 = T285 + T286 + ... + T770.
72527400 is a `hidden beast` number, since 7 + 252 + 7 + 400 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 65901924 + 6625476 = 8118^2 + 2574^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (72527407) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1960182 + ... + 1960218.
Almost surely, 272527400 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 72527400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142181655).
72527400 is an abundant number, since it is smaller than the sum of its proper divisors (211835910).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72527400 is a wasteful number, since it uses less digits than its factorization.
72527400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87 (or 58 counting only the distinct ones).
The product of its (nonzero) digits is 3920, while the sum is 27.
The square root of 72527400 is about 8516.3020143722. The cubic root of 72527400 is about 417.0300687391.
Adding to 72527400 its reverse (472527), we get a palindrome (72999927).
It can be divided in two parts, 72527 and 400, that added together give a palindrome (72927).
The spelling of 72527400 in words is "seventy-two million, five hundred twenty-seven thousand, four hundred".
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