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72060012 = 223223293001
BaseRepresentation
bin1000100101110…
…00110001101100
312000121000202100
410102320301230
5121421410022
611052255100
71533333333
oct422706154
9160530670
1072060012
1137748832
1220171490
1311c1037b
1497dad1a
1564d61ac
hex44b8c6c

72060012 has 72 divisors (see below), whose sum is σ = 196691040. Its totient is φ = 22176000.

The previous prime is 72060011. The next prime is 72060013. The reversal of 72060012 is 21006027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72060011) and next prime (72060013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72060011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22512 + ... + 25512.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820).

Almost surely, 272060012 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 72060012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98345520).

72060012 is an abundant number, since it is smaller than the sum of its proper divisors (124631028).

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

72060012 is a wasteful number, since it uses less digits than its factorization.

72060012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 72060012 is about 8488.8168786940. The cubic root of 72060012 is about 416.1323158368.

Adding to 72060012 its reverse (21006027), we get a palindrome (93066039).

The spelling of 72060012 in words is "seventy-two million, sixty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 3001 4002 6002 6003 8004 9003 12004 12006 18006 24012 27009 36012 54018 69023 87029 108036 138046 174058 207069 261087 276092 348116 414138 522174 621207 783261 828276 1044348 1242414 1566522 2001667 2484828 3133044 4003334 6005001 8006668 12010002 18015003 24020004 36030006 72060012