45900272 has 120 divisors (see below), whose sum is σ = 111086640. Its totient is φ = 18135040.

The previous prime is 45900271. The next prime is 45900299. The reversal of 45900272 is 27200954.

45900272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45900271) 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 23 ways as a sum of consecutive naturals, for example, 1582754 + ... + 1582782.

It is an arithmetic number, because the mean of its divisors is an integer number (925722).

Almost surely, 2^45900272 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 45900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55543320).

45900272 is an abundant number, since it is smaller than the sum of its proper divisors (65186368).

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

45900272 is a wasteful number, since it uses less digits than its factorization.

45900272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 45900272 is about 6774.9739482894. The cubic root of 45900272 is about 358.0456648261.

The spelling of 45900272 in words is "forty-five million, nine hundred thousand, two hundred seventy-two".