726704160 has 384 divisors, whose sum is σ = 2861236224. Its totient is φ = 150958080.

The previous prime is 726704129. The next prime is 726704183. The reversal of 726704160 is 61407627.

It is a super-2 number, since 2×726704160² = 1056197872322611200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5547295 + ... + 5547425.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2^726704160 is an apocalyptic number.

726704160 is a gapful number since it is divisible by the number (70) 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 726704160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430618112).

726704160 is an abundant number, since it is smaller than the sum of its proper divisors (2134532064).

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

726704160 is a wasteful number, since it uses less digits than its factorization.

726704160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 726704160 is about 26957.4509180672. The cubic root of 726704160 is about 899.0542163283.

The spelling of 726704160 in words is "seven hundred twenty-six million, seven hundred four thousand, one hundred sixty".