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72121123 = 17231391327
BaseRepresentation
bin1000100110001…
…11101100100011
312000201010120201
410103013230203
5121430333443
611053450031
71534006444
oct423075443
9160633521
1072121123
113778a738
12201a0917
1311c32129
1498152cb
1564e934d
hex44c7b23

72121123 has 16 divisors (see below), whose sum is σ = 80317440. Its totient is φ = 64411776.

The previous prime is 72121117. The next prime is 72121183. The reversal of 72121123 is 32112127.

It is a de Polignac number, because none of the positive numbers 2k-72121123 is a prime.

It is a super-2 number, since 2×721211232 = 10402912765562258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72121123.

It is not an unprimeable number, because it can be changed into a prime (72121183) 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 15 ways as a sum of consecutive naturals, for example, 53686 + ... + 55012.

It is an arithmetic number, because the mean of its divisors is an integer number (5019840).

Almost surely, 272121123 is an apocalyptic number.

72121123 is a deficient number, since it is larger than the sum of its proper divisors (8196317).

72121123 is a wasteful number, since it uses less digits than its factorization.

72121123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506.

The product of its digits is 168, while the sum is 19.

The square root of 72121123 is about 8492.4156163014. The cubic root of 72121123 is about 416.2499172446.

The spelling of 72121123 in words is "seventy-two million, one hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 17 23 139 391 1327 2363 3197 22559 30521 54349 184453 518857 3135701 4242419 72121123