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72140568 = 23319281563
BaseRepresentation
bin1000100110011…
…00011100011000
312000202010020220
410103030130120
5121431444233
611054120040
71534120233
oct423143430
9160663226
1072140568
11377a3305
12201b0020
1311c3ac36
14981c41a
1564eeeb3
hex44cc718

72140568 has 64 divisors (see below), whose sum is σ = 190857600. Its totient is φ = 22659840.

The previous prime is 72140557. The next prime is 72140591. The reversal of 72140568 is 86504127.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127855 + ... + 128417.

It is an arithmetic number, because the mean of its divisors is an integer number (2982150).

Almost surely, 272140568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72140568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95428800).

72140568 is an abundant number, since it is smaller than the sum of its proper divisors (118717032).

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

72140568 is a wasteful number, since it uses less digits than its factorization.

72140568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72140568 is about 8493.5603841970. The cubic root of 72140568 is about 416.2873230788.

The spelling of 72140568 in words is "seventy-two million, one hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 281 456 562 563 843 1124 1126 1686 1689 2248 2252 3372 3378 4504 5339 6744 6756 10678 10697 13512 16017 21356 21394 32034 32091 42712 42788 64068 64182 85576 128136 128364 158203 256728 316406 474609 632812 949218 1265624 1898436 3005857 3796872 6011714 9017571 12023428 18035142 24046856 36070284 72140568