727836049872 has 160 divisors (see below), whose sum is σ = 2104452191360. Its totient is φ = 240842004480.

The previous prime is 727836049841. The next prime is 727836049909. The reversal of 727836049872 is 278940638727.

727836049872 is a `hidden beast` number, since 7 + 2 + 7 + 83 + 60 + 498 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36177288 + ... + 36197400.

It is an arithmetic number, because the mean of its divisors is an integer number (13152826196).

Almost surely, 2^727836049872 is an apocalyptic number.

727836049872 is a gapful number since it is divisible by the number (72) 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 727836049872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052226095680).

727836049872 is an abundant number, since it is smaller than the sum of its proper divisors (1376616141488).

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

727836049872 is a wasteful number, since it uses less digits than its factorization.

727836049872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20738 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 727836049872 in words is "seven hundred twenty-seven billion, eight hundred thirty-six million, forty-nine thousand, eight hundred seventy-two".