725986656 has 144 divisors (see below), whose sum is σ = 2188171440. Its totient is φ = 227681280.

The previous prime is 725986643. The next prime is 725986661. The reversal of 725986656 is 656689527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990066 + ... + 990798.

It is an arithmetic number, because the mean of its divisors is an integer number (15195635).

Almost surely, 2^725986656 is an apocalyptic number.

725986656 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725986656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094085720).

725986656 is an abundant number, since it is smaller than the sum of its proper divisors (1462184784).

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

725986656 is a wasteful number, since it uses less digits than its factorization.

725986656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 938 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 725986656 is about 26944.1395483322. The cubic root of 725986656 is about 898.7582281985.

The spelling of 725986656 in words is "seven hundred twenty-five million, nine hundred eighty-six thousand, six hundred fifty-six".