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72228060 = 22325419787
BaseRepresentation
bin1000100111000…
…01110011011100
312000220120021100
410103201303130
5121442244220
611100033100
71534633302
oct423416334
9160816240
1072228060
1137853013
1220232790
1311c6b9c8
149842272
15651ad90
hex44e1cdc

72228060 has 72 divisors (see below), whose sum is σ = 224458416. Its totient is φ = 18789120.

The previous prime is 72228059. The next prime is 72228151. The reversal of 72228060 is 6082227.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2487 + ... + 12273.

It is an arithmetic number, because the mean of its divisors is an integer number (3117478).

Almost surely, 272228060 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 72228060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112229208).

72228060 is an abundant number, since it is smaller than the sum of its proper divisors (152230356).

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

72228060 is a wasteful number, since it uses less digits than its factorization.

72228060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9843 (or 9838 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72228060 is about 8498.7093137723. The cubic root of 72228060 is about 416.4555460232.

It can be divided in two parts, 722 and 28060, that added together give a palindrome (28782).

The spelling of 72228060 in words is "seventy-two million, two hundred twenty-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 9787 19574 29361 39148 48935 58722 88083 97870 117444 146805 176166 195740 293610 352332 401267 440415 587220 802534 880830 1203801 1605068 1761660 2006335 2407602 3611403 4012670 4815204 6019005 7222806 8025340 12038010 14445612 18057015 24076020 36114030 72228060