45151872 has 64 divisors (see below), whose sum is σ = 123836160. Its totient is φ = 14561280.

The previous prime is 45151871. The next prime is 45151891. The reversal of 45151872 is 27815154.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45151871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10008 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (1934940).

Almost surely, 2^45151872 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 45151872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61918080).

45151872 is an abundant number, since it is smaller than the sum of its proper divisors (78684288).

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

45151872 is a wasteful number, since it uses less digits than its factorization.

45151872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3829 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 45151872 is about 6719.5142681596. The cubic root of 45151872 is about 356.0890237322.

The spelling of 45151872 in words is "forty-five million, one hundred fifty-one thousand, eight hundred seventy-two".