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73075621 = 2961101409
BaseRepresentation
bin1000101101100…
…00101110100101
312002111121220111
410112300232211
5122201404441
611130133021
71545063313
oct426605645
9162447814
1073075621
1138281883
1220581171
13121a7718
1499c30b3
156637081
hex45b0ba5

73075621 has 16 divisors (see below), whose sum is σ = 77785200. Its totient is φ = 68544000.

The previous prime is 73075609. The next prime is 73075633. The reversal of 73075621 is 12657037.

It is an interprime number because it is at equal distance from previous prime (73075609) and next prime (73075633).

It can be written as a sum of positive squares in 8 ways, for example, as 4368100 + 68707521 = 2090^2 + 8289^2 .

It is a cyclic number.

It is not a de Polignac number, because 73075621 - 211 = 73073573 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 (73075601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178465 + ... + 178873.

It is an arithmetic number, because the mean of its divisors is an integer number (4861575).

Almost surely, 273075621 is an apocalyptic number.

It is an amenable number.

73075621 is a deficient number, since it is larger than the sum of its proper divisors (4709579).

73075621 is a wasteful number, since it uses less digits than its factorization.

73075621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 73075621 is about 8548.4279841384. The cubic root of 73075621 is about 418.0781829902.

The spelling of 73075621 in words is "seventy-three million, seventy-five thousand, six hundred twenty-one".

Divisors: 1 29 61 101 409 1769 2929 6161 11861 24949 41309 178669 723521 1197961 2519849 73075621