725671 has 2 divisors, whose sum is σ = 725672. Its totient is φ = 725670.

The previous prime is 725663. The next prime is 725687. The reversal of 725671 is 176527.

725671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 725671 - 2³ = 725663 is a prime.

It is equal to p₅₈₄₆₅ and since 725671 and 58465 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (725071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 362835 + 362836.

It is an arithmetic number, because the mean of its divisors is an integer number (362836).

2⁷²⁵⁶⁷¹ is an apocalyptic number.

725671 is a deficient number, since it is larger than the sum of its proper divisors (1).

725671 is an equidigital number, since it uses as much as digits as its factorization.

725671 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 28.

The square root of 725671 is about 851.8632519366. The cubic root of 725671 is about 89.8627950527.

The spelling of 725671 in words is "seven hundred twenty-five thousand, six hundred seventy-one".