727360 has 28 divisors (see below), whose sum is σ = 1732788. Its totient is φ = 290816.

The previous prime is 727351. The next prime is 727369. The reversal of 727360 is 63727.

727360 = T₃₆ + T₃₇ + ... + T₁₆₃.

It is an interprime number because it is at equal distance from previous prime (727351) and next prime (727369).

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 254016 = 688^2 + 504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727369) by changing a digit.

727360 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 817 + ... + 1456.

2⁷²⁷³⁶⁰ is an apocalyptic number.

It is an amenable number.

727360 is an abundant number, since it is smaller than the sum of its proper divisors (1005428).

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

727360 is a wasteful number, since it uses less digits than its factorization.

727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 727360 is about 852.8540320594. The cubic root of 727360 is about 89.9324596151.

The spelling of 727360 in words is "seven hundred twenty-seven thousand, three hundred sixty".