726475104 has 72 divisors (see below), whose sum is σ = 2096803800. Its totient is φ = 238537728.

The previous prime is 726475097. The next prime is 726475121. The reversal of 726475104 is 401574627.

726475104 is a `hidden beast` number, since 7 + 2 + 647 + 5 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472 + ... + 38120.

It is an arithmetic number, because the mean of its divisors is an integer number (29122275).

Almost surely, 2^726475104 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 726475104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048401900).

726475104 is an abundant number, since it is smaller than the sum of its proper divisors (1370328696).

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

726475104 is a wasteful number, since it uses less digits than its factorization.

726475104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37732 (or 37721 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 726475104 is about 26953.2021103245. The cubic root of 726475104 is about 898.9597462471.

The spelling of 726475104 in words is "seven hundred twenty-six million, four hundred seventy-five thousand, one hundred four".