45200736 has 108 divisors (see below), whose sum is σ = 149572332. Its totient is φ = 12910464.

The previous prime is 45200731. The next prime is 45200741. The reversal of 45200736 is 63700254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45200731) and next prime (45200741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45200731) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12511 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (1384929).

Almost surely, 2^45200736 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 45200736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74786166).

45200736 is an abundant number, since it is smaller than the sum of its proper divisors (104371596).

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

45200736 is a wasteful number, since it uses less digits than its factorization.

45200736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45200736 is about 6723.1492620646. The cubic root of 45200736 is about 356.2174322952.

The spelling of 45200736 in words is "forty-five million, two hundred thousand, seven hundred thirty-six".