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66072727 = 721779319
BaseRepresentation
bin1111110000001…
…1000010010111
311121022211202001
43330003002113
5113403311402
610320100131
71431415600
oct374030227
9147284661
1066072727
1134329466
121a164647
13108c50b6
148abcda7
155c02187
hex3f03097

66072727 has 12 divisors (see below), whose sum is σ = 81382320. Its totient is φ = 53301696.

The previous prime is 66072719. The next prime is 66072733. The reversal of 66072727 is 72727066.

66072727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66072727 - 23 = 66072719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66072707) 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 11 ways as a sum of consecutive naturals, for example, 38827 + ... + 40492.

It is an arithmetic number, because the mean of its divisors is an integer number (6781860).

Almost surely, 266072727 is an apocalyptic number.

66072727 is a deficient number, since it is larger than the sum of its proper divisors (15309593).

66072727 is a wasteful number, since it uses less digits than its factorization.

66072727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79350 (or 79343 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 66072727 is about 8128.5132096836. The cubic root of 66072727 is about 404.2723855847.

The spelling of 66072727 in words is "sixty-six million, seventy-two thousand, seven hundred twenty-seven".

Divisors: 1 7 17 49 119 833 79319 555233 1348423 3886631 9438961 66072727