727920 has 80 divisors (see below), whose sum is σ = 2514720. Its totient is φ = 193536.

The previous prime is 727891. The next prime is 727933. The reversal of 727920 is 29727.

727920 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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

727920 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 15 ways as a sum of consecutive naturals, for example, 1992 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (31434).

2⁷²⁷⁹²⁰ 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 727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257360).

727920 is an abundant number, since it is smaller than the sum of its proper divisors (1786800).

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

727920 is a wasteful number, since it uses less digits than its factorization.

727920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 727920 is about 853.1822782970. The cubic root of 727920 is about 89.9555335896.

The spelling of 727920 in words is "seven hundred twenty-seven thousand, nine hundred twenty".