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72288108 = 22322008003
BaseRepresentation
bin1000100111100…
…00011101101100
312001000121122100
410103300131230
5122001204413
611101215100
71535303334
oct423603554
9161017570
1072288108
1137894142
1220261490
1311c90139
14985a0c4
15652da73
hex44f076c

72288108 has 18 divisors (see below), whose sum is σ = 182728364. Its totient is φ = 24096024.

The previous prime is 72288107. The next prime is 72288113. The reversal of 72288108 is 80188227.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2008003 = 72288108 / (7 + 2 + 2 + 8 + 8 + 1 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (72288107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1003966 + ... + 1004037.

Almost surely, 272288108 is an apocalyptic number.

It is an amenable number.

72288108 is an abundant number, since it is smaller than the sum of its proper divisors (110440256).

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

72288108 is a wasteful number, since it uses less digits than its factorization.

72288108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008013 (or 2008008 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 72288108 is about 8502.2413515496. The cubic root of 72288108 is about 416.5709231391.

The spelling of 72288108 in words is "seventy-two million, two hundred eighty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 2008003 4016006 6024009 8032012 12048018 18072027 24096036 36144054 72288108