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72227601 = 3214953861
BaseRepresentation
bin1000100111000…
…01101100010001
312000220112122100
410103201230101
5121442240401
611100031013
71534632045
oct423415421
9160815570
1072227601
1137852736
1220232469
1311c6b734
149842025
15651ab86
hex44e1b11

72227601 has 12 divisors (see below), whose sum is σ = 105030900. Its totient is φ = 47827680.

The previous prime is 72227593. The next prime is 72227627. The reversal of 72227601 is 10672227.

It can be written as a sum of positive squares in 2 ways, for example, as 39050001 + 33177600 = 6249^2 + 5760^2 .

It is not a de Polignac number, because 72227601 - 23 = 72227593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72227671) 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, 25590 + ... + 28271.

It is an arithmetic number, because the mean of its divisors is an integer number (8752575).

Almost surely, 272227601 is an apocalyptic number.

It is an amenable number.

72227601 is a deficient number, since it is larger than the sum of its proper divisors (32803299).

72227601 is a wasteful number, since it uses less digits than its factorization.

72227601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54016 (or 54013 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72227601 is about 8498.6823096289. The cubic root of 72227601 is about 416.4546638476.

Adding to 72227601 its reverse (10672227), we get a palindrome (82899828).

The spelling of 72227601 in words is "seventy-two million, two hundred twenty-seven thousand, six hundred one".

Divisors: 1 3 9 149 447 1341 53861 161583 484749 8025289 24075867 72227601