725018112 has 540 divisors, whose sum is σ = 2774437380. Its totient is φ = 181149696.

The previous prime is 725018101. The next prime is 725018117. The reversal of 725018112 is 211810527.

725018112 is a `hidden beast` number, since 72 + 501 + 81 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725018117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38158839 + ... + 38158857.

It is an arithmetic number, because the mean of its divisors is an integer number (5137847).

Almost surely, 2^725018112 is an apocalyptic number.

725018112 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 725018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387218690).

725018112 is an abundant number, since it is smaller than the sum of its proper divisors (2049419268).

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

725018112 is a wasteful number, since it uses less digits than its factorization.

725018112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 725018112 is about 26926.1603649685. The cubic root of 725018112 is about 898.3583703972.

Adding to 725018112 its reverse (211810527), we get a palindrome (936828639).

It can be divided in two parts, 72 and 5018112, that multiplied together give a square (361304064 = 19008²).

The spelling of 725018112 in words is "seven hundred twenty-five million, eighteen thousand, one hundred twelve".