725648 has 80 divisors (see below), whose sum is σ = 1904640. Its totient is φ = 259200.

The previous prime is 725639. The next prime is 725653. The reversal of 725648 is 846527.

Its product of digits (13440) is a multiple of the sum of its prime divisors (70).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725648.

It is an unprimeable number.

725648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23393 + ... + 23423.

It is an arithmetic number, because the mean of its divisors is an integer number (23808).

2⁷²⁵⁶⁴⁸ 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 725648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952320).

725648 is an abundant number, since it is smaller than the sum of its proper divisors (1178992).

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

725648 is a wasteful number, since it uses less digits than its factorization.

725648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 725648 is about 851.8497520103. The cubic root of 725648 is about 89.8618456481.

The spelling of 725648 in words is "seven hundred twenty-five thousand, six hundred forty-eight".