725168268 has 96 divisors (see below), whose sum is σ = 2056293120. Its totient is φ = 219179520.

The previous prime is 725168267. The next prime is 725168273. The reversal of 725168268 is 862861527.

725168268 is a `hidden beast` number, since 72 + 516 + 8 + 2 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (725168267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799071 + ... + 799977.

It is an arithmetic number, because the mean of its divisors is an integer number (21419720).

Almost surely, 2^725168268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725168268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028146560).

725168268 is an abundant number, since it is smaller than the sum of its proper divisors (1331124852).

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

725168268 is a wasteful number, since it uses less digits than its factorization.

725168268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

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

The square root of 725168268 is about 26928.9485127065. The cubic root of 725168268 is about 898.4203847505.

The spelling of 725168268 in words is "seven hundred twenty-five million, one hundred sixty-eight thousand, two hundred sixty-eight".