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73000 = 235373
BaseRepresentation
bin10001110100101000
310201010201
4101310220
54314000
61321544
7422554
oct216450
9121121
1073000
114a934
12362b4
13272c5
141c864
151696a
hex11d28

73000 has 32 divisors (see below), whose sum is σ = 173160. Its totient is φ = 28800.

The previous prime is 72997. The next prime is 73009. The reversal of 73000 is 37.

73000 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 23716 + 49284 = 154^2 + 222^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (73009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964 + ... + 1036.

273000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86580).

73000 is an abundant number, since it is smaller than the sum of its proper divisors (100160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73000 is a wasteful number, since it uses less digits than its factorization.

73000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 10.

The square root of 73000 is about 270.1851217221. The cubic root of 73000 is about 41.7933919638.

Adding to 73000 its reverse (37), we get a palindrome (73037).

The spelling of 73000 in words is "seventy-three thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 73000