67716 has 60 divisors (see below), whose sum is σ = 203280. Its totient is φ = 19440.

The previous prime is 67709. The next prime is 67723. The reversal of 67716 is 61776.

It is an interprime number because it is at equal distance from previous prime (67709) and next prime (67723).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 67716.

It is an unprimeable number.

67716 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 19 ways as a sum of consecutive naturals, for example, 3555 + ... + 3573.

It is an arithmetic number, because the mean of its divisors is an integer number (3388).

2^{67716} is an apocalyptic number.

67716 is a gapful number since it is divisible by the number (66) 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 67716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640).

67716 is an abundant number, since it is smaller than the sum of its proper divisors (135564).

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

67716 is a wasteful number, since it uses less digits than its factorization.

67716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 35 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 67716 is about 260.2229813064. Note that the first 3 decimals coincide. The cubic root of 67716 is about 40.7596486869.

The spelling of 67716 in words is "sixty-seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 342 396 418 513 594 627 684 836 891 1026 1188 1254 1539 1782 1881 2052 2508 3078 3564 3762 5643 6156 7524 11286 16929 22572 33858 67716

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