45073160 has 64 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 16192000.

The previous prime is 45073157. The next prime is 45073177. The reversal of 45073160 is 6137054.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38585 + ... + 39735.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 2^45073160 is an apocalyptic number.

45073160 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 45073160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

45073160 is an abundant number, since it is smaller than the sum of its proper divisors (66901240).

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

45073160 is a wasteful number, since it uses less digits than its factorization.

45073160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 45073160 is about 6713.6547423888. The cubic root of 45073160 is about 355.8819833528.

It can be divided in two parts, 4507 and 3160, that added together give a palindrome (7667).

The spelling of 45073160 in words is "forty-five million, seventy-three thousand, one hundred sixty".