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72871877 = 13171492213
BaseRepresentation
bin1000101011111…
…10111111000101
312002010021102102
410111332333011
5122123400002
611121521445
71543254311
oct425767705
9162107372
1072871877
11381527a1
12204a3285
1312135a70
14996cb41
1565e6a02
hex457efc5

72871877 has 16 divisors (see below), whose sum is σ = 83689200. Its totient is φ = 62856192.

The previous prime is 72871871. The next prime is 72871879. The reversal of 72871877 is 77817827.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 519841 + 72352036 = 721^2 + 8506^2 .

It is a cyclic number.

It is not a de Polignac number, because 72871877 - 24 = 72871861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72871871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31823 + ... + 34035.

It is an arithmetic number, because the mean of its divisors is an integer number (5230575).

Almost surely, 272871877 is an apocalyptic number.

It is an amenable number.

72871877 is a deficient number, since it is larger than the sum of its proper divisors (10817323).

72871877 is a wasteful number, since it uses less digits than its factorization.

72871877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392.

The product of its digits is 307328, while the sum is 47.

The square root of 72871877 is about 8536.5026210972. The cubic root of 72871877 is about 417.6892698432.

The spelling of 72871877 in words is "seventy-two million, eight hundred seventy-one thousand, eight hundred seventy-seven".

Divisors: 1 13 17 149 221 1937 2213 2533 28769 32929 37621 329737 489073 4286581 5605529 72871877