Base | Representation |
---|---|
bin | 1000101011001… |
… | …01101110110000 |
3 | 12001221000112010 |
4 | 10111211232300 |
5 | 122112042212 |
6 | 11115402520 |
7 | 1542343602 |
oct | 425455660 |
9 | 161830463 |
10 | 72768432 |
11 | 38092000 |
12 | 20453440 |
13 | 120ca959 |
14 | 9943172 |
15 | 65c603c |
hex | 4565bb0 |
72768432 has 160 divisors (see below), whose sum is σ = 222200064. Its totient is φ = 20444160.
The previous prime is 72768419. The next prime is 72768457. The reversal of 72768432 is 23486727.
Its product of digits (112896) is a multiple of the sum of its prime factors (128).
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 1086063 + ... + 1086129.
Almost surely, 272768432 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 72768432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111100032).
72768432 is an abundant number, since it is smaller than the sum of its proper divisors (149431632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72768432 is a wasteful number, since it uses less digits than its factorization.
72768432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 100 counting only the distinct ones).
The product of its digits is 112896, while the sum is 39.
The square root of 72768432 is about 8530.4414891610. The cubic root of 72768432 is about 417.4915331688.
The spelling of 72768432 in words is "seventy-two million, seven hundred sixty-eight thousand, four hundred thirty-two".
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