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72465012 = 223219105943
BaseRepresentation
bin1000101000110…
…11101001110100
312001100121022100
410110123221310
5122022340022
611105102100
71536641154
oct424335164
9161317270
1072465012
11379a5044
1220327930
1312022809
1498a4764
1565661ac
hex451ba74

72465012 has 36 divisors (see below), whose sum is σ = 192818080. Its totient is φ = 22883472.

The previous prime is 72464971. The next prime is 72465013. The reversal of 72465012 is 21056427.

72465012 is a `hidden beast` number, since 7 + 2 + 4 + 650 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72465013) 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 11 ways as a sum of consecutive naturals, for example, 52288 + ... + 53655.

Almost surely, 272465012 is an apocalyptic number.

It is an amenable number.

72465012 is an abundant number, since it is smaller than the sum of its proper divisors (120353068).

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

72465012 is a wasteful number, since it uses less digits than its factorization.

72465012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105972 (or 105967 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72465012 is about 8512.6383689195. The cubic root of 72465012 is about 416.9104581477.

The spelling of 72465012 in words is "seventy-two million, four hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 105943 211886 317829 423772 635658 953487 1271316 1906974 2012917 3813948 4025834 6038751 8051668 12077502 18116253 24155004 36232506 72465012