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73696 = 257247
BaseRepresentation
bin10001111111100000
310202002111
4101333200
54324241
61325104
7424600
oct217740
9122074
1073696
1150407
1236794
132770c
141cc00
1516c81
hex11fe0

73696 has 36 divisors (see below), whose sum is σ = 172368. Its totient is φ = 30912.

The previous prime is 73693. The next prime is 73699. The reversal of 73696 is 69637.

It is an interprime number because it is at equal distance from previous prime (73693) and next prime (73699).

It is a super-2 number, since 2×736962 = 10862200832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73693) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1545 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (4788).

273696 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 73696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

73696 is an abundant number, since it is smaller than the sum of its proper divisors (98672).

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

73696 is a wasteful number, since it uses less digits than its factorization.

73696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 56 counting only the distinct ones).

The product of its digits is 6804, while the sum is 31.

The square root of 73696 is about 271.4700720153. The cubic root of 73696 is about 41.9257948984.

The spelling of 73696 in words is "seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 4606 5264 9212 10528 18424 36848 73696