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73312 = 252979
BaseRepresentation
bin10001111001100000
310201120021
4101321200
54321222
61323224
7423511
oct217140
9121507
1073312
1150098
1236514
13274a5
141ca08
1516ac7
hex11e60

73312 has 24 divisors (see below), whose sum is σ = 151200. Its totient is φ = 34944.

The previous prime is 73309. The next prime is 73327. The reversal of 73312 is 21337.

Adding to 73312 its reverse (21337), we get a palindrome (94649).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 889 + ... + 967.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

273312 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 73312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

73312 is an abundant number, since it is smaller than the sum of its proper divisors (77888).

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

73312 is a wasteful number, since it uses less digits than its factorization.

73312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 126, while the sum is 16.

The square root of 73312 is about 270.7618880123. The cubic root of 73312 is about 41.8528486095.

The spelling of 73312 in words is "seventy-three thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 16 29 32 58 79 116 158 232 316 464 632 928 1264 2291 2528 4582 9164 18328 36656 73312