45717120 has 96 divisors (see below), whose sum is σ = 157886820. Its totient is φ = 12189696.

The previous prime is 45717109. The next prime is 45717151. The reversal of 45717120 is 2171754.

45717120 is a `hidden beast` number, since 4 + 571 + 71 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 3415104 = 6504^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45717120² = 4180110122188800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1792 + ... + 9728.

Almost surely, 2^45717120 is an apocalyptic number.

45717120 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 45717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78943410).

45717120 is an abundant number, since it is smaller than the sum of its proper divisors (112169700).

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

45717120 is a wasteful number, since it uses less digits than its factorization.

45717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 45717120 is about 6761.4436328346. The cubic root of 45717120 is about 357.5688034885.

Adding to 45717120 its reverse (2171754), we get a palindrome (47888874).

The spelling of 45717120 in words is "forty-five million, seven hundred seventeen thousand, one hundred twenty".