727360000 has 100 divisors (see below), whose sum is σ = 1816841862. Its totient is φ = 290816000.

The previous prime is 727359979. The next prime is 727360001. The reversal of 727360000 is 63727.

It can be written as a sum of positive squares in 5 ways, for example, as 77721856 + 649638144 = 8816^2 + 25488^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (727360001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318864 + ... + 321136.

Almost surely, 2^727360000 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 727360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908420931).

727360000 is an abundant number, since it is smaller than the sum of its proper divisors (1089481862).

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

727360000 is an frugal number, since it uses more digits than its factorization.

727360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2280 counting only the distinct ones).

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

The square root of 727360000 is about 26969.6125296601. The cubic root of 727360000 is about 899.3245961515.

The spelling of 727360000 in words is "seven hundred twenty-seven million, three hundred sixty thousand".