45527200 has 36 divisors (see below), whose sum is σ = 111145230. Its totient is φ = 18210560.

The previous prime is 45527197. The next prime is 45527201. The reversal of 45527200 is 272554.

It can be written as a sum of positive squares in 3 ways, for example, as 27583504 + 17943696 = 5252^2 + 4236^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45527201) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 27655 + ... + 29254.

Almost surely, 2^45527200 is an apocalyptic number.

45527200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45527200 is an abundant number, since it is smaller than the sum of its proper divisors (65618030).

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

45527200 is a wasteful number, since it uses less digits than its factorization.

45527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56929 (or 56916 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 45527200 is about 6747.3846785255. The cubic root of 45527200 is about 357.0729737551.

Adding to 45527200 its reverse (272554), we get a palindrome (45799754).

The spelling of 45527200 in words is "forty-five million, five hundred twenty-seven thousand, two hundred".