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72349497 = 3311477173
BaseRepresentation
bin1000100111111…
…11011100111001
312001010201212000
410103333130321
5122010140442
611102411213
71535650323
oct423773471
9161121760
1072349497
1137926280
1220290b09
1311cb206c
149874613
156541d4c
hex44ff739

72349497 has 64 divisors (see below), whose sum is σ = 122757120. Its totient is φ = 41731200.

The previous prime is 72349471. The next prime is 72349499. The reversal of 72349497 is 79494327.

72349497 is a `hidden beast` number, since 72 + 3 + 494 + 97 = 666.

It is not a de Polignac number, because 72349497 - 27 = 72349369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72349499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 991053 + ... + 991125.

It is an arithmetic number, because the mean of its divisors is an integer number (1918080).

Almost surely, 272349497 is an apocalyptic number.

It is an amenable number.

72349497 is a deficient number, since it is larger than the sum of its proper divisors (50407623).

72349497 is a wasteful number, since it uses less digits than its factorization.

72349497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 72349497 is about 8505.8507511007. The cubic root of 72349497 is about 416.6888108409.

The spelling of 72349497 in words is "seventy-two million, three hundred forty-nine thousand, four hundred ninety-seven".

Divisors: 1 3 9 11 27 33 47 71 73 99 141 213 219 297 423 517 639 657 781 803 1269 1551 1917 1971 2343 2409 3337 3431 4653 5183 7029 7227 10011 10293 13959 15549 21087 21681 30033 30879 36707 37741 46647 57013 90099 92637 110121 113223 139941 171039 243601 330363 339669 513117 730803 991089 1019007 1539351 2192409 2679611 6577227 8038833 24116499 72349497