725888527 has 16 divisors (see below), whose sum is σ = 895067712. Its totient is φ = 573258240.

The previous prime is 725888489. The next prime is 725888557.

725888527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 725888527 - 2⁷ = 725888399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725888557) 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, 43527 + ... + 57847.

It is an arithmetic number, because the mean of its divisors is an integer number (55941732).

Almost surely, 2^725888527 is an apocalyptic number.

725888527 is a deficient number, since it is larger than the sum of its proper divisors (169179185).

725888527 is a wasteful number, since it uses less digits than its factorization.

725888527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14898.

The product of its digits is 2508800, while the sum is 52.

The square root of 725888527 is about 26942.3185156734. The cubic root of 725888527 is about 898.7177324036.

The spelling of 725888527 in words is "seven hundred twenty-five million, eight hundred eighty-eight thousand, five hundred twenty-seven".