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727372073 = 7311388177
BaseRepresentation
bin101011010110101…
…101000100101001
31212200200022220102
4223112231010221
52442201401243
6200102035145
724011363201
oct5326550451
91780608812
10727372073
1134364544a
12183718ab5
13b790419c
146c861401
1543ccc9b8
hex2b5ad129

727372073 has 8 divisors (see below), whose sum is σ = 743869608. Its totient is φ = 711051264.

The previous prime is 727372069. The next prime is 727372091. The reversal of 727372073 is 370273727.

727372073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19386409 + 707985664 = 4403^2 + 26608^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 727372073 - 22 = 727372069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (727372043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35840 + ... + 52337.

It is an arithmetic number, because the mean of its divisors is an integer number (92983701).

Almost surely, 2727372073 is an apocalyptic number.

727372073 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

727372073 is a deficient number, since it is larger than the sum of its proper divisors (16497535).

727372073 is a wasteful number, since it uses less digits than its factorization.

727372073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88363.

The product of its (nonzero) digits is 86436, while the sum is 38.

The square root of 727372073 is about 26969.8363547130. The cubic root of 727372073 is about 899.3295719021.

The spelling of 727372073 in words is "seven hundred twenty-seven million, three hundred seventy-two thousand, seventy-three".

Divisors: 1 73 113 8249 88177 6436921 9964001 727372073