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72238060 = 22531374767
BaseRepresentation
bin1000100111001…
…00001111101100
312000221001222201
410103210033230
5121443104220
611100151244
71535004406
oct423441754
9160831881
1072238060
113785a584
1220238524
1311c7341b
149845b76
15651dd0a
hex44e43ec

72238060 has 96 divisors (see below), whose sum is σ = 166699008. Its totient is φ = 26231040.

The previous prime is 72238039. The next prime is 72238073. The reversal of 72238060 is 6083227.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078147 + ... + 1078213.

It is an arithmetic number, because the mean of its divisors is an integer number (1736448).

Almost surely, 272238060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72238060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83349504).

72238060 is an abundant number, since it is smaller than the sum of its proper divisors (94460948).

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

72238060 is a wasteful number, since it uses less digits than its factorization.

72238060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72238060 is about 8499.2976180388. The cubic root of 72238060 is about 416.4747646080.

The spelling of 72238060 in words is "seventy-two million, two hundred thirty-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 31 37 47 62 67 74 94 124 134 148 155 185 188 235 268 310 335 370 470 620 670 740 940 1147 1340 1457 1739 2077 2294 2479 2914 3149 3478 4154 4588 4958 5735 5828 6298 6956 7285 8308 8695 9916 10385 11470 12395 12596 14570 15745 17390 20770 22940 24790 29140 31490 34780 41540 49580 53909 62980 76849 97619 107818 116513 153698 195238 215636 233026 269545 307396 384245 390476 466052 488095 539090 582565 768490 976190 1078180 1165130 1536980 1952380 2330260 3611903 7223806 14447612 18059515 36119030 72238060