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72028530 = 23257216333
BaseRepresentation
bin1000100101100…
…01000101110010
312000112102120100
410102301011302
5121414403110
611051453230
71533142500
oct422610562
9160472510
1072028530
1137727112
1220157216
1311bcbc42
1497cd670
1564cbbc0
hex44b1172

72028530 has 72 divisors (see below), whose sum is σ = 217862892. Its totient is φ = 16462656.

The previous prime is 72028511. The next prime is 72028543. The reversal of 72028530 is 3582027.

It can be written as a sum of positive squares in 2 ways, for example, as 64689849 + 7338681 = 8043^2 + 2709^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72028494 and 72028503.

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 35 ways as a sum of consecutive naturals, for example, 3757 + ... + 12576.

Almost surely, 272028530 is an apocalyptic number.

72028530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72028530 is an abundant number, since it is smaller than the sum of its proper divisors (145834362).

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

72028530 is a wasteful number, since it uses less digits than its factorization.

72028530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360 (or 16350 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72028530 is about 8486.9623541053. The cubic root of 72028530 is about 416.0717062351.

The spelling of 72028530 in words is "seventy-two million, twenty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 16333 32666 48999 81665 97998 114331 146997 163330 228662 244995 293994 342993 489990 571655 685986 734985 800317 1028979 1143310 1469970 1600634 1714965 2057958 2400951 3429930 4001585 4801902 5144895 7202853 8003170 10289790 12004755 14405706 24009510 36014265 72028530