729509373 has 12 divisors (see below), whose sum is σ = 1053978588. Its totient is φ = 486227520.

The previous prime is 729509371. The next prime is 729509381. The reversal of 729509373 is 373905927.

729509373 is a `hidden beast` number, since 72 + 9 + 509 + 3 + 73 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38713284 + 690796089 = 6222^2 + 26283^2 .

It is not a de Polignac number, because 729509373 - 2¹ = 729509371 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729509371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55803 + ... + 67623.

It is an arithmetic number, because the mean of its divisors is an integer number (87831549).

Almost surely, 2^729509373 is an apocalyptic number.

It is an amenable number.

729509373 is a deficient number, since it is larger than the sum of its proper divisors (324469215).

729509373 is a wasteful number, since it uses less digits than its factorization.

729509373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18684 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 729509373 is about 27009.4311861616. The cubic root of 729509373 is about 900.2095697153.

The spelling of 729509373 in words is "seven hundred twenty-nine million, five hundred nine thousand, three hundred seventy-three".