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72768432 = 2431131767
BaseRepresentation
bin1000101011001…
…01101110110000
312001221000112010
410111211232300
5122112042212
611115402520
71542343602
oct425455660
9161830463
1072768432
1138092000
1220453440
13120ca959
149943172
1565c603c
hex4565bb0

72768432 has 160 divisors (see below), whose sum is σ = 222200064. Its totient is φ = 20444160.

The previous prime is 72768419. The next prime is 72768457. The reversal of 72768432 is 23486727.

Its product of digits (112896) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086063 + ... + 1086129.

Almost surely, 272768432 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 72768432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111100032).

72768432 is an abundant number, since it is smaller than the sum of its proper divisors (149431632).

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

72768432 is a wasteful number, since it uses less digits than its factorization.

72768432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 72768432 is about 8530.4414891610. The cubic root of 72768432 is about 417.4915331688.

The spelling of 72768432 in words is "seventy-two million, seven hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 67 68 88 102 121 132 134 136 176 187 201 204 242 264 268 272 363 374 402 408 484 528 536 561 726 737 748 804 816 968 1072 1122 1139 1331 1452 1474 1496 1608 1936 2057 2211 2244 2278 2662 2904 2948 2992 3216 3417 3993 4114 4422 4488 4556 5324 5808 5896 6171 6834 7986 8107 8228 8844 8976 9112 10648 11792 12342 12529 13668 15972 16214 16456 17688 18224 21296 22627 24321 24684 25058 27336 31944 32428 32912 35376 37587 45254 48642 49368 50116 54672 63888 64856 67881 75174 89177 90508 97284 98736 100232 129712 135762 137819 150348 178354 181016 194568 200464 267531 271524 275638 300696 356708 362032 389136 413457 535062 543048 551276 601392 713416 826914 1070124 1086096 1102552 1426832 1516009 1653828 2140248 2205104 3032018 3307656 4280496 4548027 6064036 6615312 9096054 12128072 18192108 24256144 36384216 72768432