725947521 has 32 divisors (see below), whose sum is σ = 1057056000. Its totient is φ = 440494848.

The previous prime is 725947513. The next prime is 725947529. The reversal of 725947521 is 125749527.

It is an interprime number because it is at equal distance from previous prime (725947513) and next prime (725947529).

It is not a de Polignac number, because 725947521 - 2³ = 725947513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725947529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653420 + ... + 1653858.

It is an arithmetic number, because the mean of its divisors is an integer number (33033000).

Almost surely, 2^725947521 is an apocalyptic number.

It is an amenable number.

725947521 is a deficient number, since it is larger than the sum of its proper divisors (331108479).

725947521 is a wasteful number, since it uses less digits than its factorization.

725947521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953.

The product of its digits is 176400, while the sum is 42.

The square root of 725947521 is about 26943.4133138324. The cubic root of 725947521 is about 898.7420784364.

The spelling of 725947521 in words is "seven hundred twenty-five million, nine hundred forty-seven thousand, five hundred twenty-one".