727627920 has 80 divisors (see below), whose sum is σ = 2284258560. Its totient is φ = 191572992.

The previous prime is 727627919. The next prime is 727627963. The reversal of 727627920 is 29726727.

727627920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 38148.

It is an arithmetic number, because the mean of its divisors is an integer number (28553232).

Almost surely, 2^727627920 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 727627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142129280).

727627920 is an abundant number, since it is smaller than the sum of its proper divisors (1556630640).

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

727627920 is a wasteful number, since it uses less digits than its factorization.

727627920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38472 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 727627920 is about 26974.5791440756. The cubic root of 727627920 is about 899.4350034087.

The spelling of 727627920 in words is "seven hundred twenty-seven million, six hundred twenty-seven thousand, nine hundred twenty".