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72426060 = 223257471223
BaseRepresentation
bin1000101000100…
…10001001001100
312001021121212200
410110102021030
5122020113220
611104201500
71536416460
oct424221114
9161247780
1072426060
1137978853
1220309290
131200ab75
1498944a0
156559890
hex451224c

72426060 has 144 divisors (see below), whose sum is σ = 256628736. Its totient is φ = 16189056.

The previous prime is 72426047. The next prime is 72426071. The reversal of 72426060 is 6062427.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58609 + ... + 59831.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144).

Almost surely, 272426060 is an apocalyptic number.

72426060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72426060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

72426060 is an abundant number, since it is smaller than the sum of its proper divisors (184202676).

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

72426060 is a wasteful number, since it uses less digits than its factorization.

72426060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72426060 is about 8510.3501690589. The cubic root of 72426060 is about 416.8357443591.

Adding to 72426060 its reverse (6062427), we get a palindrome (78488487).

The spelling of 72426060 in words is "seventy-two million, four hundred twenty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1223 1260 1316 1410 1645 1692 1974 2115 2446 2820 2961 3290 3669 3948 4230 4892 4935 5922 6115 6580 7338 8460 8561 9870 11007 11844 12230 14676 14805 17122 18345 19740 22014 24460 25683 29610 34244 36690 42805 44028 51366 55035 57481 59220 73380 77049 85610 102732 110070 114962 128415 154098 171220 172443 220140 229924 256830 287405 308196 344886 385245 402367 513660 517329 574810 689772 770490 804734 862215 1034658 1149620 1207101 1540980 1609468 1724430 2011835 2069316 2414202 2586645 3448860 3621303 4023670 4828404 5173290 6035505 7242606 8047340 10346580 12071010 14485212 18106515 24142020 36213030 72426060