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72706212 = 223217118801
BaseRepresentation
bin1000101010101…
…10100010100100
312001210212011200
410111112202210
5122103044322
611114202500
71541664315
oct425264244
9161725150
1072706212
113804a287
1220423430
13120a8537
14992860c
1565b28ac
hex45568a4

72706212 has 36 divisors (see below), whose sum is σ = 194597676. Its totient is φ = 22809600.

The previous prime is 72706211. The next prime is 72706237. The reversal of 72706212 is 21260727.

It can be written as a sum of positive squares in 2 ways, for example, as 30404196 + 42302016 = 5514^2 + 6504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72706211) 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 11 ways as a sum of consecutive naturals, for example, 58789 + ... + 60012.

It is an arithmetic number, because the mean of its divisors is an integer number (5405491).

Almost surely, 272706212 is an apocalyptic number.

It is an amenable number.

72706212 is an abundant number, since it is smaller than the sum of its proper divisors (121891464).

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

72706212 is a wasteful number, since it uses less digits than its factorization.

72706212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118828 (or 118823 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72706212 is about 8526.7937702281. The cubic root of 72706212 is about 417.3725084324.

Adding to 72706212 its reverse (21260727), we get a palindrome (93966939).

The spelling of 72706212 in words is "seventy-two million, seven hundred six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 118801 237602 356403 475204 712806 1069209 1425612 2019617 2138418 4039234 4276836 6058851 8078468 12117702 18176553 24235404 36353106 72706212