725876648 has 64 divisors (see below), whose sum is σ = 1609113600. Its totient is φ = 300530880.

The previous prime is 725876647. The next prime is 725876651. The reversal of 725876648 is 846678527.

It is a super-2 number, since 2×725876648² = 1053793816223431808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 725876648.

It is not an unprimeable number, because it can be changed into a prime (725876647) 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, 206183 + ... + 209673.

It is an arithmetic number, because the mean of its divisors is an integer number (25142400).

Almost surely, 2^725876648 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 725876648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804556800).

725876648 is an abundant number, since it is smaller than the sum of its proper divisors (883236952).

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

725876648 is a wasteful number, since it uses less digits than its factorization.

725876648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3626 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 53.

The square root of 725876648 is about 26942.0980623262. The cubic root of 725876648 is about 898.7128299401.

The spelling of 725876648 in words is "seven hundred twenty-five million, eight hundred seventy-six thousand, six hundred forty-eight".