726039600 has 240 divisors, whose sum is σ = 2732991744. Its totient is φ = 162432000.

The previous prime is 726039581. The next prime is 726039607. The reversal of 726039600 is 6930627.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (726039607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169485 + ... + 173715.

Almost surely, 2^726039600 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 726039600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366495872).

726039600 is an abundant number, since it is smaller than the sum of its proper divisors (2006952144).

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

726039600 is a wasteful number, since it uses less digits than its factorization.

726039600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 726039600 is about 26945.1220075174. The cubic root of 726039600 is about 898.7800755693.

It can be divided in two parts, 7260 and 39600, that multiplied together give a cube (287496000 = 660³).

The spelling of 726039600 in words is "seven hundred twenty-six million, thirty-nine thousand, six hundred".