727200000 has 324 divisors, whose sum is σ = 2646650916. Its totient is φ = 192000000.

The previous prime is 727199999. The next prime is 727200017. The reversal of 727200000 is 2727.

It can be written as a sum of positive squares in 6 ways, for example, as 408363264 + 318836736 = 20208^2 + 17856^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7199950 + ... + 7200050.

Almost surely, 2^727200000 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 727200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323325458).

727200000 is an abundant number, since it is smaller than the sum of its proper divisors (1919450916).

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

727200000 is an equidigital number, since it uses as much as digits as its factorization.

727200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 727200000 is about 26966.6460650931. The cubic root of 727200000 is about 899.2586487584.

Adding to 727200000 its reverse (2727), we get a palindrome (727202727).

The spelling of 727200000 in words is "seven hundred twenty-seven million, two hundred thousand".