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72114060 = 223531137283
BaseRepresentation
bin1000100110001…
…01111110001100
312000200202220010
410103011332030
5121430122220
611053353220
71533650034
oct423057614
9160622803
1072114060
11377853a7
1220198810
1311c2bb55
1498128c4
1564e71e0
hex44c5f8c

72114060 has 96 divisors (see below), whose sum is σ = 210696192. Its totient is φ = 18408960.

The previous prime is 72114047. The next prime is 72114067. The reversal of 72114060 is 6041127.

It is not an unprimeable number, because it can be changed into a prime (72114067) by changing a digit.

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, 254679 + ... + 254961.

It is an arithmetic number, because the mean of its divisors is an integer number (2194752).

Almost surely, 272114060 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 72114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105348096).

72114060 is an abundant number, since it is smaller than the sum of its proper divisors (138582132).

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

72114060 is a wasteful number, since it uses less digits than its factorization.

72114060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 72114060 is about 8491.9997644842. Note that the first 3 decimals coincide. The cubic root of 72114060 is about 416.2363286729.

Adding to 72114060 its reverse (6041127), we get a palindrome (78155187).

The spelling of 72114060 in words is "seventy-two million, one hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 137 155 186 274 283 310 372 411 465 548 566 620 685 822 849 930 1132 1370 1415 1644 1698 1860 2055 2740 2830 3396 4110 4245 4247 5660 8220 8490 8494 8773 12741 16980 16988 17546 21235 25482 26319 35092 38771 42470 43865 50964 52638 63705 77542 84940 87730 105276 116313 127410 131595 155084 175460 193855 232626 254820 263190 387710 465252 526380 581565 775420 1163130 1201901 2326260 2403802 3605703 4807604 6009505 7211406 12019010 14422812 18028515 24038020 36057030 72114060