726429600 has 432 divisors, whose sum is σ = 2859192000. Its totient is φ = 177914880.

The previous prime is 726429593. The next prime is 726429617. The reversal of 726429600 is 6924627.

It is a happy number.

726429600 is a `hidden beast` number, since 7 + 2 + 6 + 42 + 9 + 600 = 666.

726429600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3650301 + ... + 3650499.

It is an arithmetic number, because the mean of its divisors is an integer number (6618500).

Almost surely, 2^726429600 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 726429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429596000).

726429600 is an abundant number, since it is smaller than the sum of its proper divisors (2132762400).

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

726429600 is a wasteful number, since it uses less digits than its factorization.

726429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 726429600 is about 26952.3579673468. The cubic root of 726429600 is about 898.9409765658.

It can be divided in two parts, 7264 and 29600, that added together give a square (36864 = 192²).

The spelling of 726429600 in words is "seven hundred twenty-six million, four hundred twenty-nine thousand, six hundred".