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72116122 = 2132773697
BaseRepresentation
bin1000100110001…
…10011110011010
312000200212201111
410103012132122
5121430203442
611053410534
71533656041
oct423063632
9160625644
1072116122
1137786a01
1220199a4a
1311c2ca80
149813558
1564e7b17
hex44c679a

72116122 has 8 divisors (see below), whose sum is σ = 116495316. Its totient is φ = 33284352.

The previous prime is 72116101. The next prime is 72116123. The reversal of 72116122 is 22161127.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50965321 + 21150801 = 7139^2 + 4599^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 72116093 and 72116102.

It is not an unprimeable number, because it can be changed into a prime (72116123) 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 3 ways as a sum of consecutive naturals, for example, 1386823 + ... + 1386874.

Almost surely, 272116122 is an apocalyptic number.

72116122 is a deficient number, since it is larger than the sum of its proper divisors (44379194).

72116122 is a wasteful number, since it uses less digits than its factorization.

72116122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773712.

The product of its digits is 336, while the sum is 22.

The square root of 72116122 is about 8492.1211720041. The cubic root of 72116122 is about 416.2402958657.

Adding to 72116122 its reverse (22161127), we get a palindrome (94277249).

The spelling of 72116122 in words is "seventy-two million, one hundred sixteen thousand, one hundred twenty-two".

Divisors: 1 2 13 26 2773697 5547394 36058061 72116122