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72057258 = 23271343991
BaseRepresentation
bin1000100101110…
…00000110101010
312000120212222100
410102320012222
5121421313013
611052234230
71533322320
oct422700652
9160525870
1072057258
1137746759
122016b976
1311c0c040
1497d9d10
1564d5473
hex44b81aa

72057258 has 48 divisors (see below), whose sum is σ = 192157056. Its totient is φ = 19003680.

The previous prime is 72057221. The next prime is 72057269. The reversal of 72057258 is 85275027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20358 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (4003272).

Almost surely, 272057258 is an apocalyptic number.

72057258 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

72057258 is an abundant number, since it is smaller than the sum of its proper divisors (120099798).

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

72057258 is a wasteful number, since it uses less digits than its factorization.

72057258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44019 (or 44016 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72057258 is about 8488.6546637262. The cubic root of 72057258 is about 416.1270145008.

The spelling of 72057258 in words is "seventy-two million, fifty-seven thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 43991 87982 131973 263946 307937 395919 571883 615874 791838 923811 1143766 1715649 1847622 2771433 3431298 4003181 5146947 5542866 8006362 10293894 12009543 24019086 36028629 72057258