45572520 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 10327296.

The previous prime is 45572509. The next prime is 45572521. The reversal of 45572520 is 2527554.

45572520 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 (30).

It is not an unprimeable number, because it can be changed into a prime (45572521) 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 31 ways as a sum of consecutive naturals, for example, 190561 + ... + 190799.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^45572520 is an apocalyptic number.

45572520 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 45572520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

45572520 is an abundant number, since it is smaller than the sum of its proper divisors (112021080).

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

45572520 is a wasteful number, since it uses less digits than its factorization.

45572520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 45572520 is about 6750.7421814198. The cubic root of 45572520 is about 357.1914170923.

The spelling of 45572520 in words is "forty-five million, five hundred seventy-two thousand, five hundred twenty".