726080112 has 180 divisors, whose sum is σ = 2178782424. Its totient is φ = 234057600.

The previous prime is 726080093. The next prime is 726080141. The reversal of 726080112 is 211080627.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7188862 + ... + 7188962.

Almost surely, 2^726080112 is an apocalyptic number.

726080112 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 726080112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089391212).

726080112 is an abundant number, since it is smaller than the sum of its proper divisors (1452702312).

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

726080112 is a wasteful number, since it uses less digits than its factorization.

726080112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 726080112 is about 26945.8737471992. The cubic root of 726080112 is about 898.7967921511.

The spelling of 726080112 in words is "seven hundred twenty-six million, eighty thousand, one hundred twelve".