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66072073 is a prime number
BaseRepresentation
bin1111110000001…
…0111000001001
311121022210211211
43330002320021
5113403301243
610320053121
71431413644
oct374027011
9147283754
1066072073
1134328a21
121a1641a1
13108c4a02
148abca5b
155c01d9d
hex3f02e09

66072073 has 2 divisors, whose sum is σ = 66072074. Its totient is φ = 66072072.

The previous prime is 66072053. The next prime is 66072119. The reversal of 66072073 is 37027066.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63154809 + 2917264 = 7947^2 + 1708^2 .

It is a cyclic number.

It is not a de Polignac number, because 66072073 - 221 = 63974921 is a prime.

It is not a weakly prime, because it can be changed into another prime (66072023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33036036 + 33036037.

It is an arithmetic number, because the mean of its divisors is an integer number (33036037).

Almost surely, 266072073 is an apocalyptic number.

It is an amenable number.

66072073 is a deficient number, since it is larger than the sum of its proper divisors (1).

66072073 is an equidigital number, since it uses as much as digits as its factorization.

66072073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 66072073 is about 8128.4729808249. The cubic root of 66072073 is about 404.2710517262.

The spelling of 66072073 in words is "sixty-six million, seventy-two thousand, seventy-three".