725550 has 48 divisors (see below), whose sum is σ = 2059392. Its totient is φ = 165600.

The previous prime is 725537. The next prime is 725579. The reversal of 725550 is 55527.

It is a self number, because there is not a number n which added to its sum of digits gives 725550.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 725550.

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, 705 + ... + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (42904).

2⁷²⁵⁵⁵⁰ is an apocalyptic number.

725550 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 725550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029696).

725550 is an abundant number, since it is smaller than the sum of its proper divisors (1333842).

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

725550 is a wasteful number, since it uses less digits than its factorization.

725550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 725550 is about 851.7922281871. The cubic root of 725550 is about 89.8578001341.

It can be divided in two parts, 725 and 550, that added together give a triangular number (1275 = T₅₀).

The spelling of 725550 in words is "seven hundred twenty-five thousand, five hundred fifty".