729816 has 32 divisors (see below), whose sum is σ = 1866240. Its totient is φ = 237728.

The previous prime is 729791. The next prime is 729821. The reversal of 729816 is 618927.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

729816 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, 805 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (58320).

2⁷²⁹⁸¹⁶ 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 729816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933120).

729816 is an abundant number, since it is smaller than the sum of its proper divisors (1136424).

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

729816 is a wasteful number, since it uses less digits than its factorization.

729816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 729816 is about 854.2926898903. The cubic root of 729816 is about 90.0335677254.

Subtracting from 729816 its reverse (618927), we obtain a square (110889 = 333²).

The spelling of 729816 in words is "seven hundred twenty-nine thousand, eight hundred sixteen".