Search a number
-
+
73066272 = 2531744771
BaseRepresentation
bin1000101101011…
…10011100100000
312002111011002020
410112232130200
5122201110042
611130021440
71545024126
oct426563440
9162434066
1073066272
1138275854
1220577880
13121a33a6
1499bd916
1566343ec
hex45ae720

73066272 has 48 divisors (see below), whose sum is σ = 203085792. Its totient is φ = 22922240.

The previous prime is 73066271. The next prime is 73066303. The reversal of 73066272 is 27266037.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (73066271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20754 + ... + 24017.

It is an arithmetic number, because the mean of its divisors is an integer number (4230954).

Almost surely, 273066272 is an apocalyptic number.

It is an amenable number.

73066272 is an abundant number, since it is smaller than the sum of its proper divisors (130019520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73066272 is a wasteful number, since it uses less digits than its factorization.

73066272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44801 (or 44793 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 73066272 is about 8547.8811409612. The cubic root of 73066272 is about 418.0603531514.

The spelling of 73066272 in words is "seventy-three million, sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 44771 89542 134313 179084 268626 358168 537252 716336 761107 1074504 1432672 1522214 2149008 2283321 3044428 4298016 4566642 6088856 9133284 12177712 18266568 24355424 36533136 73066272