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66666072 = 23311673769
BaseRepresentation
bin1111111001001…
…1111001011000
311122102222122210
43332103321120
5114031303242
610340515120
71436436504
oct376237130
9148388583
1066666072
11346a4230
121a3abaa0
1310a721a5
148bd5304
155cbcd9c
hex3f93e58

66666072 has 64 divisors (see below), whose sum is σ = 184579200. Its totient is φ = 19895040.

The previous prime is 66666071. The next prime is 66666097. The reversal of 66666072 is 27066666.

It is a self number, because there is not a number n which added to its sum of digits gives 66666072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66666071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15804 + ... + 19572.

It is an arithmetic number, because the mean of its divisors is an integer number (2884050).

Almost surely, 266666072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66666072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92289600).

66666072 is an abundant number, since it is smaller than the sum of its proper divisors (117913128).

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

66666072 is a wasteful number, since it uses less digits than its factorization.

66666072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 66666072 is about 8164.9293934485. The cubic root of 66666072 is about 405.4789274070.

The spelling of 66666072 in words is "sixty-six million, six hundred sixty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 3769 4422 5896 7538 8844 11307 15076 17688 22614 30152 41459 45228 82918 90456 124377 165836 248754 252523 331672 497508 505046 757569 995016 1010092 1515138 2020184 2777753 3030276 5555506 6060552 8333259 11111012 16666518 22222024 33333036 66666072