725168628 has 36 divisors (see below), whose sum is σ = 1835632708. Its totient is φ = 241384320.

The previous prime is 725168627. The next prime is 725168663. The reversal of 725168628 is 826861527.

725168628 is a `hidden beast` number, since 7 + 2 + 5 + 16 + 8 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 704265444 + 20903184 = 26538^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725168627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12648 + ... + 40128.

Almost surely, 2^725168628 is an apocalyptic number.

It is an amenable number.

725168628 is an abundant number, since it is smaller than the sum of its proper divisors (1110464080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725168628 is a wasteful number, since it uses less digits than its factorization.

725168628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28224 (or 28219 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 725168628 is about 26928.9551969622. The cubic root of 725168628 is about 898.4205334200.

The spelling of 725168628 in words is "seven hundred twenty-five million, one hundred sixty-eight thousand, six hundred twenty-eight".