725226732 has 144 divisors (see below), whose sum is σ = 2088253440. Its totient is φ = 210802176.

The previous prime is 725226727. The next prime is 725226739. The reversal of 725226732 is 237622527.

725226732 is a `hidden beast` number, since 72 + 522 + 67 + 3 + 2 = 666.

725226732 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 not an unprimeable number, because it can be changed into a prime (725226739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545853 + ... + 547179.

It is an arithmetic number, because the mean of its divisors is an integer number (14501760).

Almost surely, 2^725226732 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 725226732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044126720).

725226732 is an abundant number, since it is smaller than the sum of its proper divisors (1363026708).

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

725226732 is a wasteful number, since it uses less digits than its factorization.

725226732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 725226732 is about 26930.0340140892. The cubic root of 725226732 is about 898.4445280380. Note that the first 3 decimals are identical.

The spelling of 725226732 in words is "seven hundred twenty-five million, two hundred twenty-six thousand, seven hundred thirty-two".