727085112 has 128 divisors (see below), whose sum is σ = 2017612800. Its totient is φ = 216949248.

The previous prime is 727085089. The next prime is 727085119. The reversal of 727085112 is 211580727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727085119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2624718 + ... + 2624994.

It is an arithmetic number, because the mean of its divisors is an integer number (15762600).

Almost surely, 2^727085112 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 727085112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008806400).

727085112 is an abundant number, since it is smaller than the sum of its proper divisors (1290527688).

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

727085112 is a wasteful number, since it uses less digits than its factorization.

727085112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 727085112 is about 26964.5157939096. The cubic root of 727085112 is about 899.2112892659.

The spelling of 727085112 in words is "seven hundred twenty-seven million, eighty-five thousand, one hundred twelve".