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72481050 = 232522347149
BaseRepresentation
bin1000101000111…
…11100100011010
312001101102022100
410110133210122
5122023343200
611105304230
71540036005
oct424374432
9161342270
1072481050
1137a060a4
1220335076
1312029bc5
1498aa53c
15656ad00
hex451f91a

72481050 has 144 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 17973120.

The previous prime is 72481033. The next prime is 72481061. The reversal of 72481050 is 5018427.

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 71 ways as a sum of consecutive naturals, for example, 486376 + ... + 486524.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 272481050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72481050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

72481050 is an abundant number, since it is smaller than the sum of its proper divisors (136434150).

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

72481050 is a wasteful number, since it uses less digits than its factorization.

72481050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72481050 is about 8513.5803279231. The cubic root of 72481050 is about 416.9412128366.

Adding to 72481050 its reverse (5018427), we get a palindrome (77499477).

The spelling of 72481050 in words is "seventy-two million, four hundred eighty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 47 50 69 75 90 94 115 138 141 149 150 207 225 230 235 282 298 345 414 423 447 450 470 575 690 705 745 846 894 1035 1081 1150 1175 1341 1410 1490 1725 2070 2115 2162 2235 2350 2682 3243 3427 3450 3525 3725 4230 4470 5175 5405 6486 6705 6854 7003 7050 7450 9729 10281 10350 10575 10810 11175 13410 14006 16215 17135 19458 20562 21009 21150 22350 27025 30843 32430 33525 34270 35015 42018 48645 51405 54050 61686 63027 67050 70030 81075 85675 97290 102810 105045 126054 154215 161069 162150 171350 175075 210090 243225 257025 308430 315135 322138 350150 483207 486450 514050 525225 630270 771075 805345 966414 1050450 1449621 1542150 1575675 1610690 2416035 2899242 3151350 4026725 4832070 7248105 8053450 12080175 14496210 24160350 36240525 72481050