726062400 has 504 divisors, whose sum is σ = 3087867840. Its totient is φ = 165957120.

The previous prime is 726062369. The next prime is 726062431. The reversal of 726062400 is 4260627.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (726062369) and next prime (726062431).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103723197 + ... + 103723203.

Almost surely, 2^726062400 is an apocalyptic number.

726062400 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 726062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543933920).

726062400 is an abundant number, since it is smaller than the sum of its proper divisors (2361805440).

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

726062400 is an frugal number, since it uses more digits than its factorization.

726062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 726062400 is about 26945.5450863403. The cubic root of 726062400 is about 898.7894836747.

The spelling of 726062400 in words is "seven hundred twenty-six million, sixty-two thousand, four hundred".