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729216 = 2733211
BaseRepresentation
bin10110010000010000000
31101001022000
42302002000
5141313331
623344000
76124665
oct2620200
91331260
10729216
11458964
122b2000
131c6bb7
1414da6c
15e60e6
hexb2080

729216 has 64 divisors (see below), whose sum is σ = 2162400. Its totient is φ = 241920.

The previous prime is 729203. The next prime is 729217. The reversal of 729216 is 612927.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1512) is a multiple of the sum of its prime divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 729216.

It is not an unprimeable number, because it can be changed into a prime (729217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3351 + ... + 3561.

2729216 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 729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081200).

729216 is an abundant number, since it is smaller than the sum of its proper divisors (1433184).

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

729216 is a wasteful number, since it uses less digits than its factorization.

729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 216 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 729216 is about 853.9414499835. The cubic root of 729216 is about 90.0088880111.

It can be divided in two parts, 72921 and 6, that added together give a palindrome (72927).

The spelling of 729216 in words is "seven hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 211 216 288 384 422 432 576 633 844 864 1152 1266 1688 1728 1899 2532 3376 3456 3798 5064 5697 6752 7596 10128 11394 13504 15192 20256 22788 27008 30384 40512 45576 60768 81024 91152 121536 182304 243072 364608 729216