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72104796 = 22333491913
BaseRepresentation
bin1000100110000…
…11101101011100
312000200022012000
410103003231130
5121424323141
611053242300
71533611031
oct423035534
9160608160
1072104796
1137779445
1220193390
1311c2787a
14980d388
1564e45b6
hex44c3b5c

72104796 has 48 divisors (see below), whose sum is σ = 187572000. Its totient is φ = 23953536.

The previous prime is 72104779. The next prime is 72104807. The reversal of 72104796 is 69740127.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72104796.

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 15 ways as a sum of consecutive naturals, for example, 36736 + ... + 38648.

It is an arithmetic number, because the mean of its divisors is an integer number (3907750).

Almost surely, 272104796 is an apocalyptic number.

It is an amenable number.

72104796 is an abundant number, since it is smaller than the sum of its proper divisors (115467204).

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

72104796 is a wasteful number, since it uses less digits than its factorization.

72104796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72104796 is about 8491.4542924048. The cubic root of 72104796 is about 416.2185042316.

It can be divided in two parts, 72104 and 796, that added together give a square (72900 = 2702).

The spelling of 72104796 in words is "seventy-two million, one hundred four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 349 698 1047 1396 1913 2094 3141 3826 4188 5739 6282 7652 9423 11478 12564 17217 18846 22956 34434 37692 51651 68868 103302 206604 667637 1335274 2002911 2670548 4005822 6008733 8011644 12017466 18026199 24034932 36052398 72104796