727802119072 has 288 divisors, whose sum is σ = 1793289093120. Its totient is φ = 284484026880.

The previous prime is 727802119067. The next prime is 727802119087. The reversal of 727802119072 is 270911208727.

It is a super-2 number, since 2×727802119072² (a number of 25 digits) contains 22 as substring.

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, 569039329 + ... + 569040607.

It is an arithmetic number, because the mean of its divisors is an integer number (6226698240).

Almost surely, 2^727802119072 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 727802119072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896644546560).

727802119072 is an abundant number, since it is smaller than the sum of its proper divisors (1065486974048).

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

727802119072 is a wasteful number, since it uses less digits than its factorization.

727802119072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 46.

The spelling of 727802119072 in words is "seven hundred twenty-seven billion, eight hundred two million, one hundred nineteen thousand, seventy-two".