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72051268 = 22192411217
BaseRepresentation
bin1000100101101…
…10101001000100
312000120120202111
410102312221010
5121421120033
611052150404
71533266002
oct422665104
9160516674
1072051268
1137742203
1220168404
1311c093b3
1497d7a72
1564d37cd
hex44b6a44

72051268 has 36 divisors (see below), whose sum is σ = 136433052. Its totient is φ = 33269760.

The previous prime is 72051263. The next prime is 72051277. The reversal of 72051268 is 86215027.

It can be written as a sum of positive squares in 2 ways, for example, as 11957764 + 60093504 = 3458^2 + 7752^2 .

It is not an unprimeable number, because it can be changed into a prime (72051263) 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 11 ways as a sum of consecutive naturals, for example, 58596 + ... + 59812.

It is an arithmetic number, because the mean of its divisors is an integer number (3789807).

Almost surely, 272051268 is an apocalyptic number.

It is an amenable number.

72051268 is a deficient number, since it is larger than the sum of its proper divisors (64381784).

72051268 is a wasteful number, since it uses less digits than its factorization.

72051268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 72051268 is about 8488.3018325222. The cubic root of 72051268 is about 416.1154835324.

The spelling of 72051268 in words is "seventy-two million, fifty-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 19 38 41 76 82 164 361 722 779 1217 1444 1558 2434 3116 4868 14801 23123 29602 46246 49897 59204 92492 99794 199588 439337 878674 948043 1757348 1896086 3792172 18012817 36025634 72051268