729768 has 32 divisors (see below), whose sum is σ = 1965600. Its totient is φ = 224448.

The previous prime is 729761. The next prime is 729779. The reversal of 729768 is 867927.

It is a super-2 number, since 2×729768² = 1065122667648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (729761) by changing a digit.

729768 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, 858 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2⁷²⁹⁷⁶⁸ is an apocalyptic number.

729768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

729768 is an abundant number, since it is smaller than the sum of its proper divisors (1235832).

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

729768 is a wasteful number, since it uses less digits than its factorization.

729768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2357 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 729768 is about 854.2645960123. The cubic root of 729768 is about 90.0315938462.

The spelling of 729768 in words is "seven hundred twenty-nine thousand, seven hundred sixty-eight".