727014960 has 240 divisors, whose sum is σ = 2913429600. Its totient is φ = 166150656.

The previous prime is 727014919. The next prime is 727014971. The reversal of 727014960 is 69410727.

It is a happy number.

727014960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102406 + ... + 109274.

It is an arithmetic number, because the mean of its divisors is an integer number (12139290).

Almost surely, 2^727014960 is an apocalyptic number.

727014960 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 727014960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456714800).

727014960 is an abundant number, since it is smaller than the sum of its proper divisors (2186414640).

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

727014960 is a wasteful number, since it uses less digits than its factorization.

727014960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 727014960 is about 26963.2149418425. The cubic root of 727014960 is about 899.1823685347.

The spelling of 727014960 in words is "seven hundred twenty-seven million, fourteen thousand, nine hundred sixty".