727416682122 has 128 divisors (see below), whose sum is σ = 1643222827008. Its totient is φ = 213138374400.

The previous prime is 727416682087. The next prime is 727416682159. The reversal of 727416682122 is 221286614727.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95620843 + ... + 95628449.

It is an arithmetic number, because the mean of its divisors is an integer number (12837678336).

Almost surely, 2^727416682122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727416682122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821611413504).

727416682122 is an abundant number, since it is smaller than the sum of its proper divisors (915806144886).

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

727416682122 is a wasteful number, since it uses less digits than its factorization.

727416682122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284.

The product of its digits is 903168, while the sum is 48.

The spelling of 727416682122 in words is "seven hundred twenty-seven billion, four hundred sixteen million, six hundred eighty-two thousand, one hundred twenty-two".