725564671 has 16 divisors (see below), whose sum is σ = 804555136. Its totient is φ = 650081376.

The previous prime is 725564657. The next prime is 725564681. The reversal of 725564671 is 176465527.

It is a cyclic number.

It is not a de Polignac number, because 725564671 - 2⁵ = 725564639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725564611) 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, 87136 + ... + 95098.

It is an arithmetic number, because the mean of its divisors is an integer number (50284696).

Almost surely, 2^725564671 is an apocalyptic number.

725564671 is a deficient number, since it is larger than the sum of its proper divisors (78990465).

725564671 is a wasteful number, since it uses less digits than its factorization.

725564671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8182.

The product of its digits is 352800, while the sum is 43.

The square root of 725564671 is about 26936.3076719880. The cubic root of 725564671 is about 898.5840578725.

The spelling of 725564671 in words is "seven hundred twenty-five million, five hundred sixty-four thousand, six hundred seventy-one".