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75672121 = 722695741
BaseRepresentation
bin1001000001010…
…10101000111001
312021101112122011
410200222220321
5123333001441
611301525521
71606126300
oct440525071
9167345564
1075672121
1139795648
12214138a1
13128a6505
14a09b437
15699b581
hex482aa39

75672121 has 12 divisors (see below), whose sum is σ = 88369380. Its totient is φ = 64609440.

The previous prime is 75672119. The next prime is 75672127. The reversal of 75672121 is 12127657.

It can be written as a sum of positive squares in 2 ways, for example, as 18835600 + 56836521 = 4340^2 + 7539^2 .

It is not a de Polignac number, because 75672121 - 21 = 75672119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75672127) 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, 10311 + ... + 16051.

It is an arithmetic number, because the mean of its divisors is an integer number (7364115).

Almost surely, 275672121 is an apocalyptic number.

It is an amenable number.

75672121 is a deficient number, since it is larger than the sum of its proper divisors (12697259).

75672121 is a wasteful number, since it uses less digits than its factorization.

75672121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6017 counting only the distinct ones).

The product of its digits is 5880, while the sum is 31.

The square root of 75672121 is about 8698.9724105782. The cubic root of 75672121 is about 422.9723410388.

Adding to 75672121 its reverse (12127657), we get a palindrome (87799778).

The spelling of 75672121 in words is "seventy-five million, six hundred seventy-two thousand, one hundred twenty-one".

Divisors: 1 7 49 269 1883 5741 13181 40187 281309 1544329 10810303 75672121