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72943470 = 23351959241
BaseRepresentation
bin1000101100100…
…00011101101110
312002020220122000
410112100131232
5122133142340
611123233130
71544003115
oct426203556
9162226560
1072943470
11381a1566
12205187a6
131215c522
14998ac7c
15660cd30
hex459076e

72943470 has 128 divisors (see below), whose sum is σ = 209088000. Its totient is φ = 18040320.

The previous prime is 72943457. The next prime is 72943487. The reversal of 72943470 is 7434927.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 302550 + ... + 302790.

It is an arithmetic number, because the mean of its divisors is an integer number (1633500).

Almost surely, 272943470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72943470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544000).

72943470 is an abundant number, since it is smaller than the sum of its proper divisors (136144530).

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

72943470 is a wasteful number, since it uses less digits than its factorization.

72943470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72943470 is about 8540.6949365962. The cubic root of 72943470 is about 417.8260113935.

The spelling of 72943470 in words is "seventy-two million, nine hundred forty-three thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 59 90 95 114 118 135 171 177 190 241 270 285 295 342 354 482 513 531 570 590 723 855 885 1026 1062 1121 1205 1446 1593 1710 1770 2169 2242 2410 2565 2655 3186 3363 3615 4338 4579 5130 5310 5605 6507 6726 7230 7965 9158 10089 10845 11210 13014 13737 14219 15930 16815 20178 21690 22895 27474 28438 30267 32535 33630 41211 42657 45790 50445 60534 65070 68685 71095 82422 85314 100890 123633 127971 137370 142190 151335 206055 213285 247266 255942 270161 302670 383913 412110 426570 540322 618165 639855 767826 810483 1236330 1279710 1350805 1620966 1919565 2431449 2701610 3839130 4052415 4862898 7294347 8104830 12157245 14588694 24314490 36471735 72943470