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72129366 = 234541823
BaseRepresentation
bin1000100110010…
…01101101010110
312000201112220000
410103021231112
5121431114431
611053552130
71534042461
oct423115526
9160645800
1072129366
1137795951
12201a5646
1311c35aca
1498182d8
1564eb9e6
hex44c9b56

72129366 has 40 divisors (see below), whose sum is σ = 162118704. Its totient is φ = 23969520.

The previous prime is 72129353. The next prime is 72129401. The reversal of 72129366 is 66392127.

It is a self number, because there is not a number n which added to its sum of digits gives 72129366.

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 19 ways as a sum of consecutive naturals, for example, 87231 + ... + 88053.

Almost surely, 272129366 is an apocalyptic number.

72129366 is an abundant number, since it is smaller than the sum of its proper divisors (89989338).

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

72129366 is a wasteful number, since it uses less digits than its factorization.

72129366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1369 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 72129366 is about 8492.9009178254. The cubic root of 72129366 is about 416.2657749074.

The spelling of 72129366 in words is "seventy-two million, one hundred twenty-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 541 823 1082 1623 1646 2469 3246 4869 4938 7407 9738 14607 14814 22221 29214 43821 44442 66663 87642 133326 445243 890486 1335729 2671458 4007187 8014374 12021561 24043122 36064683 72129366