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72104256 = 263471987
BaseRepresentation
bin1000100110000…
…11100101000000
312000200021110000
410103003211000
5121424314011
611053240000
71533606330
oct423034500
9160607400
1072104256
1137778aa4
1220193000
1311c27553
14980d0c0
1564e4356
hex44c3940

72104256 has 140 divisors (see below), whose sum is σ = 244396768. Its totient is φ = 20590848.

The previous prime is 72104239. The next prime is 72104269. The reversal of 72104256 is 65240127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35295 + ... + 37281.

Almost surely, 272104256 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 72104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122198384).

72104256 is an abundant number, since it is smaller than the sum of its proper divisors (172292512).

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

72104256 is a wasteful number, since it uses less digits than its factorization.

72104256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72104256 is about 8491.4224956717. The cubic root of 72104256 is about 416.2174651951.

The spelling of 72104256 in words is "seventy-two million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 1987 2016 2268 2592 3024 3974 4032 4536 5184 5961 6048 7948 9072 11922 12096 13909 15896 17883 18144 23844 27818 31792 35766 36288 41727 47688 53649 55636 63584 71532 83454 95376 107298 111272 125181 127168 143064 160947 166908 190752 214596 222544 250362 286128 321894 333816 375543 381504 429192 445088 500724 572256 643788 667632 751086 858384 890176 1001448 1126629 1144512 1287576 1335264 1502172 1716768 2002896 2253258 2575152 2670528 3004344 3433536 4005792 4506516 5150304 6008688 8011584 9013032 10300608 12017376 18026064 24034752 36052128 72104256