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72199296 = 2733131607
BaseRepresentation
bin1000100110110…
…10110010000000
312000212002211000
410103122302000
5121440334141
611055252000
71534453401
oct423326200
9160762730
1072199296
1137833444
122021a000
1311c5b8a0
1498359a8
1565125b6
hex44dac80

72199296 has 128 divisors (see below), whose sum is σ = 229622400. Its totient is φ = 22201344.

The previous prime is 72199273. The next prime is 72199307. The reversal of 72199296 is 69299127.

It is a tau number, because it is divible by the number of its divisors (128).

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, 44125 + ... + 45731.

It is an arithmetic number, because the mean of its divisors is an integer number (1793925).

Almost surely, 272199296 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 72199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114811200).

72199296 is an abundant number, since it is smaller than the sum of its proper divisors (157423104).

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

72199296 is a wasteful number, since it uses less digits than its factorization.

72199296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1625 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 72199296 is about 8497.0168882967. The cubic root of 72199296 is about 416.4002557947.

The spelling of 72199296 in words is "seventy-two million, one hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1607 1664 1728 1872 2496 2808 3214 3456 3744 4821 4992 5616 6428 7488 9642 11232 12856 14463 14976 19284 20891 22464 25712 28926 38568 41782 43389 44928 51424 57852 62673 77136 83564 86778 102848 115704 125346 154272 167128 173556 188019 205696 231408 250692 308544 334256 347112 376038 462816 501384 564057 617088 668512 694224 752076 925632 1002768 1128114 1337024 1388448 1504152 1851264 2005536 2256228 2674048 2776896 3008304 4011072 4512456 5553792 6016608 8022144 9024912 12033216 18049824 24066432 36099648 72199296