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73368192 = 2731711239
BaseRepresentation
bin1000101111110…
…00001010000000
312010001111020110
410113320022000
5122240240232
611140311320
71550422302
oct427701200
9163044213
1073368192
1138461677
12206a2540
131227a941
149a5b972
156693acc
hex45f8280

73368192 has 64 divisors (see below), whose sum is σ = 206366400. Its totient is φ = 23015424.

The previous prime is 73368187. The next prime is 73368203. The reversal of 73368192 is 29186337.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 73368192.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909 + ... + 12147.

It is an arithmetic number, because the mean of its divisors is an integer number (3224475).

Almost surely, 273368192 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 73368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103183200).

73368192 is an abundant number, since it is smaller than the sum of its proper divisors (132998208).

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

73368192 is a wasteful number, since it uses less digits than its factorization.

73368192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11273 (or 11261 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 73368192 is about 8565.5234516053. The cubic root of 73368192 is about 418.6353896785.

The spelling of 73368192 in words is "seventy-three million, three hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 11239 22478 33717 44956 67434 89912 134868 179824 191063 269736 359648 382126 539472 573189 719296 764252 1078944 1146378 1438592 1528504 2157888 2292756 3057008 4315776 4585512 6114016 9171024 12228032 18342048 24456064 36684096 73368192