725116 has 48 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 278208.

The previous prime is 725113. The next prime is 725119. The reversal of 725116 is 611527.

It is an interprime number because it is at equal distance from previous prime (725113) and next prime (725119).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725111) 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, 15405 + ... + 15451.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁷²⁵¹¹⁶ is an apocalyptic number.

725116 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 725116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

725116 is an abundant number, since it is smaller than the sum of its proper divisors (887684).

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

725116 is a wasteful number, since it uses less digits than its factorization.

725116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 420, while the sum is 22.

The square root of 725116 is about 851.5374331173. The cubic root of 725116 is about 89.8398799064.

It can be divided in two parts, 725 and 116, that multiplied together give a square (84100 = 290²).

The spelling of 725116 in words is "seven hundred twenty-five thousand, one hundred sixteen".