726352704 has 448 divisors, whose sum is σ = 2738810880. Its totient is φ = 183306240.

The previous prime is 726352703. The next prime is 726352747. The reversal of 726352704 is 407253627.

It is a happy number.

726352704 is a `hidden beast` number, since 72 + 63 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×726352704² = 1055176501216223232, 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 not an unprimeable number, because it can be changed into a prime (726352703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7051917 + ... + 7052019.

Almost surely, 2^726352704 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 726352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369405440).

726352704 is an abundant number, since it is smaller than the sum of its proper divisors (2012458176).

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

726352704 is a wasteful number, since it uses less digits than its factorization.

726352704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 726352704 is about 26950.9314124763. The cubic root of 726352704 is about 898.9092563989.

The spelling of 726352704 in words is "seven hundred twenty-six million, three hundred fifty-two thousand, seven hundred four".