725265268 has 120 divisors (see below), whose sum is σ = 1648085992. Its totient is φ = 277385472.

The previous prime is 725265241. The next prime is 725265311. The reversal of 725265268 is 862562527.

It can be written as a sum of positive squares in 4 ways, for example, as 71031184 + 654234084 = 8428^2 + 25578^2 .

It is a super-2 number, since 2×725265268² = 1052019417934223648, which contains 22 as substring.

725265268 is a modest number, since divided by 65268 gives 7252 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4619446 + ... + 4619602.

Almost surely, 2^725265268 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 725265268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824042996).

725265268 is an abundant number, since it is smaller than the sum of its proper divisors (922820724).

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

725265268 is a wasteful number, since it uses less digits than its factorization.

725265268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The square root of 725265268 is about 26930.7494882708. The cubic root of 725265268 is about 898.4604411511.

It can be divided in two parts, 7252 and 65268, that multiplied together give a square (473323536 = 21756²).

The spelling of 725265268 in words is "seven hundred twenty-five million, two hundred sixty-five thousand, two hundred sixty-eight".