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66372072 = 233131991069
BaseRepresentation
bin1111110100110…
…0000111101000
311121220001100220
43331030013220
5113442401242
610330330040
71434103404
oct375140750
9147801326
1066372072
1134513358
121a289920
131099b420
148b5a104
155c60bec
hex3f4c1e8

66372072 has 64 divisors (see below), whose sum is σ = 179760000. Its totient is φ = 20300544.

The previous prime is 66372041. The next prime is 66372101. The reversal of 66372072 is 27027366.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61554 + ... + 62622.

It is an arithmetic number, because the mean of its divisors is an integer number (2808750).

Almost surely, 266372072 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 66372072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89880000).

66372072 is an abundant number, since it is smaller than the sum of its proper divisors (113387928).

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

66372072 is a wasteful number, since it uses less digits than its factorization.

66372072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 66372072 is about 8146.9056702530. The cubic root of 66372072 is about 404.8819896988.

The spelling of 66372072 in words is "sixty-six million, three hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 312 398 597 796 1069 1194 1592 2138 2388 2587 3207 4276 4776 5174 6414 7761 8552 10348 12828 13897 15522 20696 25656 27794 31044 41691 55588 62088 83382 111176 166764 212731 333528 425462 638193 850924 1276386 1701848 2552772 2765503 5105544 5531006 8296509 11062012 16593018 22124024 33186036 66372072