727495560 has 384 divisors, whose sum is σ = 2815344000. Its totient is φ = 166510080.

The previous prime is 727495553. The next prime is 727495567. The reversal of 727495560 is 65594727.

727495560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (727495553) and next prime (727495567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (727495567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2482774 + ... + 2483066.

It is an arithmetic number, because the mean of its divisors is an integer number (7331625).

Almost surely, 2^727495560 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 727495560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672000).

727495560 is an abundant number, since it is smaller than the sum of its proper divisors (2087848440).

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

727495560 is a wasteful number, since it uses less digits than its factorization.

727495560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 727495560 is about 26972.1256114530. The cubic root of 727495560 is about 899.3804625126.

The spelling of 727495560 in words is "seven hundred twenty-seven million, four hundred ninety-five thousand, five hundred sixty".