725450544 has 480 divisors, whose sum is σ = 2729825280. Its totient is φ = 174569472.

The previous prime is 725450519. The next prime is 725450563. The reversal of 725450544 is 445054527.

It is a happy number.

725450544 is a `hidden beast` number, since 72 + 5 + 45 + 0 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 725450499 and 725450508.

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, 8740327 + ... + 8740409.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^725450544 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 725450544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

725450544 is an abundant number, since it is smaller than the sum of its proper divisors (2004374736).

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

725450544 is a wasteful number, since it uses less digits than its factorization.

725450544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 725450544 is about 26934.1891283179. The cubic root of 725450544 is about 898.5369414291.

The spelling of 725450544 in words is "seven hundred twenty-five million, four hundred fifty thousand, five hundred forty-four".