726105600 has 480 divisors, whose sum is σ = 2922670080. Its totient is φ = 175104000.

The previous prime is 726105587. The next prime is 726105623. The reversal of 726105600 is 6501627.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801505 + ... + 3801695.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^726105600 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 726105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461335040).

726105600 is an abundant number, since it is smaller than the sum of its proper divisors (2196564480).

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

726105600 is a wasteful number, since it uses less digits than its factorization.

726105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 726105600 is about 26946.3466911565. The cubic root of 726105600 is about 898.8073090184.

It can be divided in two parts, 72610 and 5600, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 726105600 in words is "seven hundred twenty-six million, one hundred five thousand, six hundred".