45712120 has 64 divisors (see below), whose sum is σ = 107503200. Its totient is φ = 17472000.

The previous prime is 45712111. The next prime is 45712127. The reversal of 45712120 is 2121754.

It is a happy number.

45712120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45712091 and 45712100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45712127) 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 15 ways as a sum of consecutive naturals, for example, 181995 + ... + 182245.

Almost surely, 2^45712120 is an apocalyptic number.

45712120 is a gapful number since it is divisible by the number (40) 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 45712120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53751600).

45712120 is an abundant number, since it is smaller than the sum of its proper divisors (61791080).

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

45712120 is a wasteful number, since it uses less digits than its factorization.

45712120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 45712120 is about 6761.0738792000. The cubic root of 45712120 is about 357.5557674588. Note that the first 3 decimals are identical.

Adding to 45712120 its reverse (2121754), we get a palindrome (47833874).

The spelling of 45712120 in words is "forty-five million, seven hundred twelve thousand, one hundred twenty".