729688 has 16 divisors (see below), whose sum is σ = 1378080. Its totient is φ = 362208.

The previous prime is 729679. The next prime is 729689. The reversal of 729688 is 886927.

It is a d-powerful number, because it can be written as 7³ + 2¹⁷ + 6⁴ + 9⁶ + 8⁵ + 8⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 729688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1345 + ... + 1807.

It is an arithmetic number, because the mean of its divisors is an integer number (86130).

729688 is a Friedman number, since it can be written as 926*788, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 788 ⋅ 926 (with its own digits).

2⁷²⁹⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

729688 is a deficient number, since it is larger than the sum of its proper divisors (648392).

729688 is a wasteful number, since it uses less digits than its factorization.

729688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 729688 is about 854.2177708290. The cubic root of 729688 is about 90.0283038551.

The spelling of 729688 in words is "seven hundred twenty-nine thousand, six hundred eighty-eight".