725622480 has 180 divisors, whose sum is σ = 2678878020. Its totient is φ = 175887360.

The previous prime is 725622479. The next prime is 725622517. The reversal of 725622480 is 84226527.

725622480 is a `hidden beast` number, since 7 + 25 + 622 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 558282384 = 12936^2 + 23628^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 82956 + ... + 91284.

Almost surely, 2^725622480 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 725622480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339439010).

725622480 is an abundant number, since it is smaller than the sum of its proper divisors (1953255540).

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

725622480 is a wasteful number, since it uses less digits than its factorization.

725622480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8370 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 725622480 is about 26937.3807189934. The cubic root of 725622480 is about 898.6079219829.

The spelling of 725622480 in words is "seven hundred twenty-five million, six hundred twenty-two thousand, four hundred eighty".