Search a number
-
+
72236385 = 32513196797
BaseRepresentation
bin1000100111000…
…11110101100001
312000220222200200
410103203311201
5121443031020
611100135413
71534666464
oct423436541
9160828620
1072236385
11378592a1
1220237569
1311c72730
1498452db
15651d590
hex44e3d61

72236385 has 96 divisors (see below), whose sum is σ = 145541760. Its totient is φ = 32845824.

The previous prime is 72236363. The next prime is 72236387. The reversal of 72236385 is 58363227.

It is not a de Polignac number, because 72236385 - 212 = 72232289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72236387) 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 95 ways as a sum of consecutive naturals, for example, 744657 + ... + 744753.

It is an arithmetic number, because the mean of its divisors is an integer number (1516060).

Almost surely, 272236385 is an apocalyptic number.

It is an amenable number.

72236385 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

72236385 is a wasteful number, since it uses less digits than its factorization.

72236385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72236385 is about 8499.1990799134. The cubic root of 72236385 is about 416.4715456187.

The spelling of 72236385 in words is "seventy-two million, two hundred thirty-six thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 67 95 97 117 171 195 201 247 285 291 335 485 585 603 741 855 871 873 1005 1235 1261 1273 1455 1843 2223 2613 3015 3705 3783 3819 4355 4365 5529 6305 6365 6499 7839 9215 11115 11349 11457 13065 16549 16587 18915 19095 19497 23959 27645 32495 39195 49647 56745 57285 58491 71877 82745 82935 84487 97485 119795 123481 148941 215631 248235 253461 292455 359385 370443 422435 617405 744705 760383 1078155 1111329 1267305 1605253 1852215 3801915 4815759 5556645 8026265 14447277 24078795 72236385