727380 has 60 divisors (see below), whose sum is σ = 2286900. Its totient is φ = 193536.

The previous prime is 727369. The next prime is 727399. The reversal of 727380 is 83727.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 374544 = 594^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1396 + ... + 1844.

It is an arithmetic number, because the mean of its divisors is an integer number (38115).

2⁷²⁷³⁸⁰ 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 727380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143450).

727380 is an abundant number, since it is smaller than the sum of its proper divisors (1559520).

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

727380 is a wasteful number, since it uses less digits than its factorization.

727380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 727380 is about 852.8657573147. The cubic root of 727380 is about 89.9332838896.

The spelling of 727380 in words is "seven hundred twenty-seven thousand, three hundred eighty".