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72508345 = 5713375973
BaseRepresentation
bin1000101001001…
…10001110111001
312001102210202021
410110212032321
5122030231340
611110034441
71540211410
oct424461671
9161383667
1072508345
1137a24658
1220348a21
1312039460
1498b6477
156573e4a
hex45263b9

72508345 has 64 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 43296768.

The previous prime is 72508343. The next prime is 72508379. The reversal of 72508345 is 54380527.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72508345 - 21 = 72508343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72508345.

It is not an unprimeable number, because it can be changed into a prime (72508343) 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 63 ways as a sum of consecutive naturals, for example, 993229 + ... + 993301.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 272508345 is an apocalyptic number.

It is an amenable number.

72508345 is a deficient number, since it is larger than the sum of its proper divisors (40871495).

72508345 is a wasteful number, since it uses less digits than its factorization.

72508345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194.

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 72508345 is about 8515.1832041360. The cubic root of 72508345 is about 416.9935436741.

The spelling of 72508345 in words is "seventy-two million, five hundred eight thousand, three hundred forty-five".

Divisors: 1 5 7 13 35 37 59 65 73 91 185 259 295 365 413 455 481 511 767 949 1295 2065 2183 2405 2555 2701 3367 3835 4307 4745 5369 6643 10915 13505 15281 16835 18907 21535 26845 28379 30149 33215 35113 55991 76405 94535 141895 150745 159359 175565 198653 245791 279955 391937 796795 993265 1115513 1228955 1959685 2071667 5577565 10358335 14501669 72508345