726873600 has 240 divisors, whose sum is σ = 2508625152. Its totient is φ = 185180160.

The previous prime is 726873599. The next prime is 726873601. The reversal of 726873600 is 6378627.

It is an interprime number because it is at equal distance from previous prime (726873599) and next prime (726873601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726873601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882789 + ... + 883611.

Almost surely, 2^726873600 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 726873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254312576).

726873600 is an abundant number, since it is smaller than the sum of its proper divisors (1781751552).

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

726873600 is a wasteful number, since it uses less digits than its factorization.

726873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 726873600 is about 26960.5934652782. The cubic root of 726873600 is about 899.1240860757.

The spelling of 726873600 in words is "seven hundred twenty-six million, eight hundred seventy-three thousand, six hundred".