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72714684 = 22372361617
BaseRepresentation
bin1000101010110…
…00100110111100
312001211021210110
410111120212330
5122103332214
611114310020
71542031110
oct425304674
9161737713
1072714684
1138055689
1220428310
13120ac353
14992b740
1565b5159
hex45589bc

72714684 has 96 divisors (see below), whose sum is σ = 205986816. Its totient is φ = 19514880.

The previous prime is 72714671. The next prime is 72714703. The reversal of 72714684 is 48641727.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117544 + ... + 118160.

It is an arithmetic number, because the mean of its divisors is an integer number (2145696).

Almost surely, 272714684 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 72714684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102993408).

72714684 is an abundant number, since it is smaller than the sum of its proper divisors (133272132).

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

72714684 is a wasteful number, since it uses less digits than its factorization.

72714684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 72714684 is about 8527.2905427222. The cubic root of 72714684 is about 417.3887190718.

The spelling of 72714684 in words is "seventy-two million, seven hundred fourteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 61 69 84 92 122 138 161 183 244 276 322 366 427 483 617 644 732 854 966 1234 1281 1403 1708 1851 1932 2468 2562 2806 3702 4209 4319 5124 5612 7404 8418 8638 9821 12957 14191 16836 17276 19642 25914 28382 29463 37637 39284 42573 51828 56764 58926 75274 85146 99337 112911 117852 150548 170292 198674 225822 263459 298011 397348 451644 526918 596022 790377 865651 1053836 1192044 1580754 1731302 2596953 3161508 3462604 5193906 6059557 10387812 12119114 18178671 24238228 36357342 72714684