725041827 has 32 divisors (see below), whose sum is σ = 1106784000. Its totient is φ = 468809280.

The previous prime is 725041817. The next prime is 725041829. The reversal of 725041827 is 728140527.

725041827 is a `hidden beast` number, since 72 + 504 + 1 + 82 + 7 = 666.

725041827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 725041827 - 2⁸ = 725041571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 725041791 and 725041800.

It is not an unprimeable number, because it can be changed into a prime (725041829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196324 + ... + 199982.

It is an arithmetic number, because the mean of its divisors is an integer number (34587000).

Almost surely, 2^725041827 is an apocalyptic number.

725041827 is a deficient number, since it is larger than the sum of its proper divisors (381742173).

725041827 is a wasteful number, since it uses less digits than its factorization.

725041827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 725041827 is about 26926.6007323613. The cubic root of 725041827 is about 898.3681652497.

The spelling of 725041827 in words is "seven hundred twenty-five million, forty-one thousand, eight hundred twenty-seven".