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72873589 = 6110932
BaseRepresentation
bin1000101011111…
…11011001110101
312002010100202211
410111333121311
5122123423324
611121533421
71543262305
oct425773165
9162110684
1072873589
1138154008
12204a4271
1312136789
14996d605
1565e7294
hex457f675

72873589 has 6 divisors (see below), whose sum is σ = 74136066. Its totient is φ = 71613360.

The previous prime is 72873571. The next prime is 72873613. The reversal of 72873589 is 98537827.

It can be written as a sum of positive squares in 3 ways, for example, as 34222500 + 38651089 = 5850^2 + 6217^2 .

It is not a de Polignac number, because 72873589 - 25 = 72873557 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 (72873389) 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 5 ways as a sum of consecutive naturals, for example, 66127 + ... + 67219.

It is an arithmetic number, because the mean of its divisors is an integer number (12356011).

Almost surely, 272873589 is an apocalyptic number.

It is an amenable number.

72873589 is a deficient number, since it is larger than the sum of its proper divisors (1262477).

72873589 is an frugal number, since it uses more digits than its factorization.

72873589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 1154 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 72873589 is about 8536.6028957660. The cubic root of 72873589 is about 417.6925407824.

The spelling of 72873589 in words is "seventy-two million, eight hundred seventy-three thousand, five hundred eighty-nine".

Divisors: 1 61 1093 66673 1194649 72873589