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72066150 = 232521397127
BaseRepresentation
bin1000100101110…
…10010001100110
312000121100011200
410102322101212
5121422104100
611052343330
71533360252
oct422722146
9160540150
1072066150
1137752402
1220174b46
1311c130c0
1497dd262
1564d7e00
hex44ba466

72066150 has 144 divisors (see below), whose sum is σ = 212319744. Its totient is φ = 17418240.

The previous prime is 72066149. The next prime is 72066173. The reversal of 72066150 is 5166027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 567387 + ... + 567513.

Almost surely, 272066150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72066150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106159872).

72066150 is an abundant number, since it is smaller than the sum of its proper divisors (140253594).

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

72066150 is a wasteful number, since it uses less digits than its factorization.

72066150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 72066150 is about 8489.1784054760. The cubic root of 72066150 is about 416.1441307466.

The spelling of 72066150 in words is "seventy-two million, sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 97 117 127 130 150 194 195 225 234 254 291 325 381 390 450 485 582 585 635 650 762 873 970 975 1143 1170 1261 1270 1455 1651 1746 1905 1950 2286 2425 2522 2910 2925 3175 3302 3783 3810 4365 4850 4953 5715 5850 6305 6350 7275 7566 8255 8730 9525 9906 11349 11430 12319 12610 14550 14859 16510 18915 19050 21825 22698 24638 24765 28575 29718 31525 36957 37830 41275 43650 49530 56745 57150 61595 63050 73914 74295 82550 94575 110871 113490 123190 123825 148590 160147 184785 189150 221742 247650 283725 307975 320294 369570 371475 480441 554355 567450 615950 742950 800735 923925 960882 1108710 1441323 1601470 1847850 2402205 2771775 2882646 4003675 4804410 5543550 7206615 8007350 12011025 14413230 24022050 36033075 72066150