45727200 has 288 divisors, whose sum is σ = 173426400. Its totient is φ = 11612160.

The previous prime is 45727169. The next prime is 45727211. The reversal of 45727200 is 272754.

45727200 is a `hidden beast` number, since 457 + 2 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626364 + ... + 626436.

It is an arithmetic number, because the mean of its divisors is an integer number (602175).

Almost surely, 2^45727200 is an apocalyptic number.

45727200 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 45727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713200).

45727200 is an abundant number, since it is smaller than the sum of its proper divisors (127699200).

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

45727200 is a wasteful number, since it uses less digits than its factorization.

45727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 45727200 is about 6762.1889946969. The cubic root of 45727200 is about 357.5950812350.

Adding to 45727200 its reverse (272754), we get a palindrome (45999954).

The spelling of 45727200 in words is "forty-five million, seven hundred twenty-seven thousand, two hundred".