725464992 has 144 divisors (see below), whose sum is σ = 2332139040. Its totient is φ = 196342272.

The previous prime is 725464991. The next prime is 725465017. The reversal of 725464992 is 299464527.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (725464991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85318 + ... + 93434.

It is an arithmetic number, because the mean of its divisors is an integer number (16195410).

Almost surely, 2^725464992 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 725464992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166069520).

725464992 is an abundant number, since it is smaller than the sum of its proper divisors (1606674048).

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

725464992 is a wasteful number, since it uses less digits than its factorization.

725464992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163 (or 8148 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 725464992 is about 26934.4573362821. The cubic root of 725464992 is about 898.5429064466.

The spelling of 725464992 in words is "seven hundred twenty-five million, four hundred sixty-four thousand, nine hundred ninety-two".