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67728 = 2431783
BaseRepresentation
bin10000100010010000
310102220110
4100202100
54131403
61241320
7401313
oct204220
9112813
1067728
1146981
1233240
1324a9b
141a97a
1515103
hex10890

67728 has 40 divisors (see below), whose sum is σ = 187488. Its totient is φ = 20992.

The previous prime is 67723. The next prime is 67733. The reversal of 67728 is 82776.

It is an interprime number because it is at equal distance from previous prime (67723) and next prime (67733).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67695 and 67704.

It is not an unprimeable number, because it can be changed into a prime (67723) by changing a digit.

67728 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 in 7 ways as a sum of consecutive naturals, for example, 775 + ... + 857.

267728 is an apocalyptic number.

67728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

67728 is an abundant number, since it is smaller than the sum of its proper divisors (119760).

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

67728 is a wasteful number, since it uses less digits than its factorization.

67728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 67728 is about 260.2460374338. The cubic root of 67728 is about 40.7620562267.

The spelling of 67728 in words is "sixty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 83 102 136 166 204 249 272 332 408 498 664 816 996 1328 1411 1992 2822 3984 4233 5644 8466 11288 16932 22576 33864 67728