729316 has 27 divisors (see below), whose sum is σ = 1509417. Its totient is φ = 307440.

The previous prime is 729301. The next prime is 729329. The reversal of 729316 is 613927.

The square root of 729316 is 854.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 705600 = 154^2 + 840^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11926 + ... + 11986.

729316 is a Friedman number, since it can be written as (761+93)^2, using all its digits and the basic arithmetic operations.

2⁷²⁹³¹⁶ is an apocalyptic number.

729316 is the 854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729316

729316 is an abundant number, since it is smaller than the sum of its proper divisors (780101).

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

729316 is a wasteful number, since it uses less digits than its factorization.

729316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 70 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The cubic root of 729316 is about 90.0130022367.

The spelling of 729316 in words is "seven hundred twenty-nine thousand, three hundred sixteen".