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12372672 = 263134957
BaseRepresentation
bin101111001100…
…101011000000
3212021121010010
4233030223000
511131411142
61121104520
7210110634
oct57145300
925247103
1012372672
116a90854
124188140
132742810
141900dc4
151145e9c
hexbccac0

12372672 has 56 divisors (see below), whose sum is σ = 35261296. Its totient is φ = 3806208.

The previous prime is 12372653. The next prime is 12372707. The reversal of 12372672 is 27627321.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18 + ... + 4974.

It is an arithmetic number, because the mean of its divisors is an integer number (629666).

Almost surely, 212372672 is an apocalyptic number.

12372672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17630648).

12372672 is an abundant number, since it is smaller than the sum of its proper divisors (22888624).

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

12372672 is a wasteful number, since it uses less digits than its factorization.

12372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4975 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 12372672 is about 3517.4809167926. The cubic root of 12372672 is about 231.2887452002.

Adding to 12372672 its reverse (27627321), we get a palindrome (39999993).

The spelling of 12372672 in words is "twelve million, three hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4957 9914 14871 19828 29742 39656 59484 64441 79312 118968 128882 158624 193323 237936 257764 317248 386646 475872 515528 773292 951744 1031056 1546584 2062112 3093168 4124224 6186336 12372672