725585067 has 16 divisors (see below), whose sum is σ = 1079563680. Its totient is φ = 481643136.

The previous prime is 725585051. The next prime is 725585093. The reversal of 725585067 is 760585527.

725585067 is a `hidden beast` number, since 7 + 2 + 5 + 585 + 0 + 67 = 666.

It is not a de Polignac number, because 725585067 - 2⁴ = 725585051 is a prime.

It is not an unprimeable number, because it can be changed into a prime (725585467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51378 + ... + 63959.

It is an arithmetic number, because the mean of its divisors is an integer number (67472730).

Almost surely, 2^725585067 is an apocalyptic number.

725585067 is a deficient number, since it is larger than the sum of its proper divisors (353978613).

725585067 is a wasteful number, since it uses less digits than its factorization.

725585067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115579 (or 115573 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 725585067 is about 26936.6862661315. The cubic root of 725585067 is about 898.5924776819.

The spelling of 725585067 in words is "seven hundred twenty-five million, five hundred eighty-five thousand, sixty-seven".