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72984132 = 223313227229
BaseRepresentation
bin1000101100110…
…10011001000100
312002022222102000
410112122121010
5122140443012
611124145300
71544232504
oct426323104
9162288360
1072984132
113821a071
1220538230
1312174ba0
14999ba04
156619ddc
hex459a644

72984132 has 96 divisors (see below), whose sum is σ = 205564800. Its totient is φ = 22260096.

The previous prime is 72984113. The next prime is 72984133. The reversal of 72984132 is 23148927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72984133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 318594 + ... + 318822.

It is an arithmetic number, because the mean of its divisors is an integer number (2141300).

Almost surely, 272984132 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 72984132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102782400).

72984132 is an abundant number, since it is smaller than the sum of its proper divisors (132580668).

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

72984132 is a wasteful number, since it uses less digits than its factorization.

72984132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72984132 is about 8543.0750903875. The cubic root of 72984132 is about 417.9036353641.

The spelling of 72984132 in words is "seventy-two million, nine hundred eighty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 227 229 234 351 454 458 468 681 687 702 908 916 1362 1374 1404 2043 2061 2724 2748 2951 2977 4086 4122 5902 5954 6129 6183 8172 8244 8853 8931 11804 11908 12258 12366 17706 17862 24516 24732 26559 26793 35412 35724 51983 53118 53586 79677 80379 103966 106236 107172 155949 159354 160758 207932 311898 318708 321516 467847 623796 675779 935694 1351558 1403541 1871388 2027337 2703116 2807082 4054674 5614164 6082011 8109348 12164022 18246033 24328044 36492066 72984132