725211120 has 120 divisors (see below), whose sum is σ = 2328998256. Its totient is φ = 186669056.

The previous prime is 725211119. The next prime is 725211121. The reversal of 725211120 is 21112527.

It is an interprime number because it is at equal distance from previous prime (725211119) and next prime (725211121).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×725211120³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725211121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200044 + ... + 203636.

Almost surely, 2^725211120 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 725211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164499128).

725211120 is an abundant number, since it is smaller than the sum of its proper divisors (1603787136).

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

725211120 is a wasteful number, since it uses less digits than its factorization.

725211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 725211120 is about 26929.7441502885. The cubic root of 725211120 is about 898.4380810350.

Adding to 725211120 its reverse (21112527), we get a palindrome (746323647).

The spelling of 725211120 in words is "seven hundred twenty-five million, two hundred eleven thousand, one hundred twenty".