Search a number
-
+
72227862 = 23772337
BaseRepresentation
bin1000100111000…
…01110000010110
312000220120000000
410103201300112
5121442242422
611100032130
71534632600
oct423416026
9160816000
1072227862
1137852953
1220232646
1311c6b8a5
149842170
15651acac
hex44e1c16

72227862 has 96 divisors (see below), whose sum is σ = 189577440. Its totient is φ = 20575296.

The previous prime is 72227839. The next prime is 72227863. The reversal of 72227862 is 26872227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72227863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 214158 + ... + 214494.

It is an arithmetic number, because the mean of its divisors is an integer number (1974765).

Almost surely, 272227862 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72227862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94788720).

72227862 is an abundant number, since it is smaller than the sum of its proper divisors (117349578).

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

72227862 is an equidigital number, since it uses as much as digits as its factorization.

72227862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 349 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 72227862 is about 8498.6976649367. The cubic root of 72227862 is about 416.4551654773.

The spelling of 72227862 in words is "seventy-two million, two hundred twenty-seven thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 337 378 441 486 567 674 729 882 1011 1134 1323 1458 1701 2022 2187 2359 2646 3033 3402 3969 4374 4718 5103 6066 7077 7938 9099 10206 11907 14154 15309 16513 18198 21231 23814 27297 30618 33026 35721 42462 49539 54594 63693 71442 81891 99078 107163 127386 148617 163782 191079 214326 245673 297234 382158 445851 491346 573237 737019 891702 1146474 1337553 1474038 1719711 2675106 3439422 4012659 5159133 8025318 10318266 12037977 24075954 36113931 72227862