725266080 has 576 divisors, whose sum is σ = 3200311296. Its totient is φ = 145152000.

The previous prime is 725266051. The next prime is 725266093. The reversal of 725266080 is 80662527.

725266080 is a `hidden beast` number, since 7 + 25 + 26 + 608 + 0 = 666.

725266080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 3437175 + ... + 3437385.

It is an arithmetic number, because the mean of its divisors is an integer number (5556096).

Almost surely, 2^725266080 is an apocalyptic number.

725266080 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 725266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600155648).

725266080 is an abundant number, since it is smaller than the sum of its proper divisors (2475045216).

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

725266080 is a wasteful number, since it uses less digits than its factorization.

725266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 725266080 is about 26930.7645639703. The cubic root of 725266080 is about 898.4607764535.

It can be divided in two parts, 72526 and 6080, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 725266080 in words is "seven hundred twenty-five million, two hundred sixty-six thousand, eighty".