729275904 has 240 divisors, whose sum is σ = 2512553472. Its totient is φ = 199102464.

The previous prime is 729275873. The next prime is 729275929. The reversal of 729275904 is 409572927.

It is a self number, because there is not a number n which added to its sum of digits gives 729275904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741397 + ... + 742379.

Almost surely, 2^729275904 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 729275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256276736).

729275904 is an abundant number, since it is smaller than the sum of its proper divisors (1783277568).

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

729275904 is a wasteful number, since it uses less digits than its factorization.

729275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 729275904 is about 27005.1088499936. The cubic root of 729275904 is about 900.1135264199.

The spelling of 729275904 in words is "seven hundred twenty-nine million, two hundred seventy-five thousand, nine hundred four".