725112 has 48 divisors (see below), whose sum is σ = 2042040. Its totient is φ = 241056.

The previous prime is 725111. The next prime is 725113. The reversal of 725112 is 211527.

It is an interprime number because it is at equal distance from previous prime (725111) and next prime (725113).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 1758 + ... + 2130.

2⁷²⁵¹¹² is an apocalyptic number.

725112 is a gapful number since it is divisible by the number (72) 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 725112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021020).

725112 is an abundant number, since it is smaller than the sum of its proper divisors (1316928).

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

725112 is a wasteful number, since it uses less digits than its factorization.

725112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 725112 is about 851.5350844211. The cubic root of 725112 is about 89.8397147097.

Adding to 725112 its reverse (211527), we get a palindrome (936639).

It can be divided in two parts, 72 and 5112, that added together give a square (5184 = 72²).

The spelling of 725112 in words is "seven hundred twenty-five thousand, one hundred twelve".