726746832 has 180 divisors, whose sum is σ = 2387513856. Its totient is φ = 205752960.

The previous prime is 726746831. The next prime is 726746849. The reversal of 726746832 is 238647627.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726746831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 895707 + ... + 896517.

Almost surely, 2^726746832 is an apocalyptic number.

726746832 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 726746832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193756928).

726746832 is an abundant number, since it is smaller than the sum of its proper divisors (1660767024).

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

726746832 is a wasteful number, since it uses less digits than its factorization.

726746832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 950 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 726746832 is about 26958.2423759414. The cubic root of 726746832 is about 899.0718134436.

The spelling of 726746832 in words is "seven hundred twenty-six million, seven hundred forty-six thousand, eight hundred thirty-two".