725461506 has 96 divisors (see below), whose sum is σ = 2027376000. Its totient is φ = 181923840.

The previous prime is 725461459. The next prime is 725461543. The reversal of 725461506 is 605164527.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31170 + ... + 49218.

It is an arithmetic number, because the mean of its divisors is an integer number (21118500).

Almost surely, 2^725461506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725461506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013688000).

725461506 is an abundant number, since it is smaller than the sum of its proper divisors (1301914494).

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

725461506 is a wasteful number, since it uses less digits than its factorization.

725461506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18104 (or 18101 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 725461506 is about 26934.3926235585. The cubic root of 725461506 is about 898.5414672200.

The spelling of 725461506 in words is "seven hundred twenty-five million, four hundred sixty-one thousand, five hundred six".