726103872 has 112 divisors (see below), whose sum is σ = 2298882880. Its totient is φ = 223409664.

The previous prime is 726103871. The next prime is 726103877. The reversal of 726103872 is 278301627.

726103872 is a `hidden beast` number, since 7 + 2 + 610 + 38 + 7 + 2 = 666.

726103872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726103871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6303 + ... + 38625.

It is an arithmetic number, because the mean of its divisors is an integer number (20525740).

Almost surely, 2^726103872 is an apocalyptic number.

726103872 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 726103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149441440).

726103872 is an abundant number, since it is smaller than the sum of its proper divisors (1572779008).

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

726103872 is a wasteful number, since it uses less digits than its factorization.

726103872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32357 (or 32341 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 726103872 is about 26946.3146274217. The cubic root of 726103872 is about 898.8065960183.

The spelling of 726103872 in words is "seven hundred twenty-six million, one hundred three thousand, eight hundred seventy-two".