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72000027 = 3211727273
BaseRepresentation
bin1000100101010…
…10001000011011
312000110222110200
410102222020123
5121413000102
611051113243
71532663421
oct422521033
9160428420
1072000027
1137707760
1220142823
1311bbbc88
1497c3111
1564c351c
hex44aa21b

72000027 has 12 divisors (see below), whose sum is σ = 113454744. Its totient is φ = 43636320.

The previous prime is 72000007. The next prime is 72000053.

72000027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72000027 - 28 = 71999771 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71999973 and 72000009.

It is not an unprimeable number, because it can be changed into a prime (72000007) 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 11 ways as a sum of consecutive naturals, for example, 363538 + ... + 363735.

It is an arithmetic number, because the mean of its divisors is an integer number (9454562).

Almost surely, 272000027 is an apocalyptic number.

72000027 is a deficient number, since it is larger than the sum of its proper divisors (41454717).

72000027 is a wasteful number, since it uses less digits than its factorization.

72000027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727290 (or 727287 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 72000027 is about 8485.2829652287. The cubic root of 72000027 is about 416.0168166125.

It can be divided in two parts, 720000 and 27, that added together give a palindrome (720027).

The spelling of 72000027 in words is "seventy-two million, twenty-seven", and thus it is an aban number and an uban number.

Divisors: 1 3 9 11 33 99 727273 2181819 6545457 8000003 24000009 72000027