726709104 has 320 divisors, whose sum is σ = 2435558400. Its totient is φ = 205286400.

The previous prime is 726709091. The next prime is 726709111. The reversal of 726709104 is 401907627.

It is a happy number.

It is a super-2 number, since 2×726709104² = 1056212243672965632, which contains 22 as substring.

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

It is a congruent number.

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, 6667002 + ... + 6667110.

It is an arithmetic number, because the mean of its divisors is an integer number (7611120).

Almost surely, 2^726709104 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 726709104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217779200).

726709104 is an abundant number, since it is smaller than the sum of its proper divisors (1708849296).

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

726709104 is a wasteful number, since it uses less digits than its factorization.

726709104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 726709104 is about 26957.5426179761. The cubic root of 726709104 is about 899.0562551745.

The spelling of 726709104 in words is "seven hundred twenty-six million, seven hundred nine thousand, one hundred four".