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72116130 = 2354158631
BaseRepresentation
bin1000100110001…
…10011110100010
312000200212201210
410103012132202
5121430204010
611053410550
71533656052
oct423063642
9160625653
1072116130
1137786a09
1220199a56
1311c2ca88
149813562
1564e7b20
hex44c67a2

72116130 has 32 divisors (see below), whose sum is σ = 177303168. Its totient is φ = 18761600.

The previous prime is 72116129. The next prime is 72116131. The reversal of 72116130 is 3161127.

It is an interprime number because it is at equal distance from previous prime (72116129) and next prime (72116131).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72116097 and 72116106.

It is not an unprimeable number, because it can be changed into a prime (72116131) 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, 28086 + ... + 30545.

It is an arithmetic number, because the mean of its divisors is an integer number (5540724).

Almost surely, 272116130 is an apocalyptic number.

72116130 is an abundant number, since it is smaller than the sum of its proper divisors (105187038).

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

72116130 is a wasteful number, since it uses less digits than its factorization.

72116130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58682.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 72116130 is about 8492.1216430289. The cubic root of 72116130 is about 416.2403112571.

Adding to 72116130 its reverse (3161127), we get a palindrome (75277257).

The spelling of 72116130 in words is "seventy-two million, one hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 58631 117262 175893 293155 351786 586310 879465 1758930 2403871 4807742 7211613 12019355 14423226 24038710 36058065 72116130