726921216 has 260 divisors, whose sum is σ = 2489670832. Its totient is φ = 207028224.

The previous prime is 726921199. The next prime is 726921229. The reversal of 726921216 is 612129627.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322276 + ... + 2322588.

Almost surely, 2^726921216 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 726921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244835416).

726921216 is an abundant number, since it is smaller than the sum of its proper divisors (1762749616).

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

726921216 is an equidigital number, since it uses as much as digits as its factorization.

726921216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 726921216 is about 26961.4765174313. The cubic root of 726921216 is about 899.1437189058.

The spelling of 726921216 in words is "seven hundred twenty-six million, nine hundred twenty-one thousand, two hundred sixteen".