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72119729 = 1117438969
BaseRepresentation
bin1000100110001…
…11010110110001
312000201001200002
410103013112301
5121430312404
611053435345
71534002413
oct423072661
9160631602
1072119729
1137789690
122019bb55
1311c315c6
1498149b3
1564e8c1e
hex44c75b1

72119729 has 16 divisors (see below), whose sum is σ = 85250880. Its totient is φ = 60264960.

The previous prime is 72119717. The next prime is 72119731. The reversal of 72119729 is 92791127.

It is a cyclic number.

It is not a de Polignac number, because 72119729 - 24 = 72119713 is a prime.

It is a super-2 number, since 2×721197292 = 10402510622066882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72119692 and 72119701.

It is not an unprimeable number, because it can be changed into a prime (72119759) by changing a digit.

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, 3557 + ... + 12525.

It is an arithmetic number, because the mean of its divisors is an integer number (5328180).

Almost surely, 272119729 is an apocalyptic number.

It is an amenable number.

72119729 is a deficient number, since it is larger than the sum of its proper divisors (13131151).

72119729 is a wasteful number, since it uses less digits than its factorization.

72119729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040.

The product of its digits is 15876, while the sum is 38.

The square root of 72119729 is about 8492.3335426725. Note that the first 3 decimals coincide. The cubic root of 72119729 is about 416.2472353852.

The spelling of 72119729 in words is "seventy-two million, one hundred nineteen thousand, seven hundred twenty-nine".

Divisors: 1 11 17 43 187 473 731 8041 8969 98659 152473 385667 1677203 4242337 6556339 72119729