Search a number
-
+
12072737 = 174117321
BaseRepresentation
bin101110000011…
…011100100001
3211201100200102
4232003130201
511042311422
61110432145
7204421325
oct56033441
924640612
1012072737
1168a6476
124062655
132669141
141863985
1510d7192
hexb83721

12072737 has 8 divisors (see below), whose sum is σ = 13095432. Its totient is φ = 11084800.

The previous prime is 12072721. The next prime is 12072743. The reversal of 12072737 is 73727021.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 11826721 = 496^2 + 3439^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12072737 - 24 = 12072721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12072037) 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 7 ways as a sum of consecutive naturals, for example, 7964 + ... + 9357.

It is an arithmetic number, because the mean of its divisors is an integer number (1636929).

Almost surely, 212072737 is an apocalyptic number.

12072737 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12072737 is a deficient number, since it is larger than the sum of its proper divisors (1022695).

12072737 is a wasteful number, since it uses less digits than its factorization.

12072737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17379.

The product of its (nonzero) digits is 4116, while the sum is 29.

The square root of 12072737 is about 3474.5844355836. The cubic root of 12072737 is about 229.4044896959.

Adding to 12072737 its reverse (73727021), we get a palindrome (85799758).

The spelling of 12072737 in words is "twelve million, seventy-two thousand, seven hundred thirty-seven".

Divisors: 1 17 41 697 17321 294457 710161 12072737