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73088 = 27571
BaseRepresentation
bin10001110110000000
310201020222
4101312000
54314323
61322212
7423041
oct216600
9121228
1073088
114aa04
1236368
1327362
141c8c8
15169c8
hex11d80

73088 has 16 divisors (see below), whose sum is σ = 145860. Its totient is φ = 36480.

The previous prime is 73079. The next prime is 73091. The reversal of 73088 is 88037.

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73088.

It is an unprimeable number.

73088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 158 + ... + 413.

273088 is an apocalyptic number.

It is an amenable number.

73088 is a deficient number, since it is larger than the sum of its proper divisors (72772).

73088 is an equidigital number, since it uses as much as digits as its factorization.

73088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 73088 is about 270.3479239795. The cubic root of 73088 is about 41.8101789119.

It can be divided in two parts, 730 and 88, that added together give a palindrome (818).

The spelling of 73088 in words is "seventy-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 571 1142 2284 4568 9136 18272 36544 73088