45059872 has 96 divisors (see below), whose sum is σ = 107110080. Its totient is φ = 18385920.

The previous prime is 45059869. The next prime is 45059873. The reversal of 45059872 is 27895054.

45059872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45059873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196654 + ... + 196882.

It is an arithmetic number, because the mean of its divisors is an integer number (1115730).

Almost surely, 2^45059872 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 45059872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53555040).

45059872 is an abundant number, since it is smaller than the sum of its proper divisors (62050208).

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

45059872 is a wasteful number, since it uses less digits than its factorization.

45059872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 45059872 is about 6712.6650445259. The cubic root of 45059872 is about 355.8470074412.

The spelling of 45059872 in words is "forty-five million, fifty-nine thousand, eight hundred seventy-two".