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12172272 = 2437172131
BaseRepresentation
bin101110011011…
…101111110000
3211220102012220
4232123233300
511104003042
61112521040
7205314450
oct56335760
924812186
1012172272
116964232
1240b0180
1326a2538
14188bd60
1511068ec
hexb9bbf0

12172272 has 80 divisors (see below), whose sum is σ = 38068992. Its totient is φ = 3271680.

The previous prime is 12172271. The next prime is 12172273. The reversal of 12172272 is 27227121.

It is an interprime number because it is at equal distance from previous prime (12172271) and next prime (12172273).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12172271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4647 + ... + 6777.

Almost surely, 212172272 is an apocalyptic number.

12172272 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 12172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19034496).

12172272 is an abundant number, since it is smaller than the sum of its proper divisors (25896720).

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

12172272 is a wasteful number, since it uses less digits than its factorization.

12172272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2160 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 12172272 is about 3488.8783297788. The cubic root of 12172272 is about 230.0332151148.

Adding to 12172272 its reverse (27227121), we get a palindrome (39399393).

The spelling of 12172272 in words is "twelve million, one hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2131 2856 4262 5712 6393 8524 12786 14917 17048 25572 29834 34096 36227 44751 51144 59668 72454 89502 102288 108681 119336 144908 179004 217362 238672 253589 289816 358008 434724 507178 579632 716016 760767 869448 1014356 1521534 1738896 2028712 3043068 4057424 6086136 12172272