45709872 has 160 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 12718080.

The previous prime is 45709849. The next prime is 45709919. The reversal of 45709872 is 27890754.

45709872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 328779 + ... + 328917.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^45709872 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 45709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

45709872 is an abundant number, since it is smaller than the sum of its proper divisors (94281168).

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

45709872 is a wasteful number, since it uses less digits than its factorization.

45709872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 45709872 is about 6760.9076313761. The cubic root of 45709872 is about 357.5499061501.

The spelling of 45709872 in words is "forty-five million, seven hundred nine thousand, eight hundred seventy-two".