727847120 has 320 divisors, whose sum is σ = 2324851200. Its totient is φ = 204595200.

The previous prime is 727847101. The next prime is 727847137. The reversal of 727847120 is 21748727.

It is a happy number.

It is a super-2 number, since 2×727847120² = 1059522860184588800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4884806 + ... + 4884954.

It is an arithmetic number, because the mean of its divisors is an integer number (7265160).

Almost surely, 2^727847120 is an apocalyptic number.

727847120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727847120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162425600).

727847120 is an abundant number, since it is smaller than the sum of its proper divisors (1597004080).

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

727847120 is a wasteful number, since it uses less digits than its factorization.

727847120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 727847120 is about 26978.6419228248. The cubic root of 727847120 is about 899.5253134664.

The spelling of 727847120 in words is "seven hundred twenty-seven million, eight hundred forty-seven thousand, one hundred twenty".