Search a number
-
+
71712 = 253383
BaseRepresentation
bin10001100000100000
310122101000
4101200200
54243322
61312000
7416034
oct214040
9118330
1071712
1149973
1235600
1326844
141c1c4
15163ac
hex11820

71712 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 23616.

The previous prime is 71711. The next prime is 71713. The reversal of 71712 is 21717.

It is an interprime number because it is at equal distance from previous prime (71711) and next prime (71713).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×717122 = 10285221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (71711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

271712 is an apocalyptic number.

71712 is a gapful number since it is divisible by the number (72) 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 71712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

71712 is an abundant number, since it is smaller than the sum of its proper divisors (139968).

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

71712 is a wasteful number, since it uses less digits than its factorization.

71712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 71712 is about 267.7909632531. The cubic root of 71712 is about 41.5461334358.

It can be divided in two parts, 717 and 12, that added together give a 6-th power (729 = 36).

The spelling of 71712 in words is "seventy-one thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 71712