727048080 has 240 divisors, whose sum is σ = 2729825280. Its totient is φ = 171878400.

The previous prime is 727048073. The next prime is 727048087. The reversal of 727048080 is 80840727.

It is an interprime number because it is at equal distance from previous prime (727048073) and next prime (727048087).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (727048087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323601 + ... + 325839.

It is an arithmetic number, because the mean of its divisors is an integer number (11374272).

Almost surely, 2^727048080 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 727048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

727048080 is an abundant number, since it is smaller than the sum of its proper divisors (2002777200).

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

727048080 is a wasteful number, since it uses less digits than its factorization.

727048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 727048080 is about 26963.8291049324. The cubic root of 727048080 is about 899.1960227553.

The spelling of 727048080 in words is "seven hundred twenty-seven million, forty-eight thousand, eighty".