727080 has 64 divisors (see below), whose sum is σ = 2237760. Its totient is φ = 188928.

The previous prime is 727079. The next prime is 727121. The reversal of 727080 is 80727.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 727080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8719 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2⁷²⁷⁰⁸⁰ 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 727080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118880).

727080 is an abundant number, since it is smaller than the sum of its proper divisors (1510680).

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

727080 is a wasteful number, since it uses less digits than its factorization.

727080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 727080 is about 852.6898615558. The cubic root of 727080 is about 89.9209181865.

The spelling of 727080 in words is "seven hundred twenty-seven thousand, eighty".