45522720 has 144 divisors (see below), whose sum is σ = 157385592. Its totient is φ = 11980800.

The previous prime is 45522713. The next prime is 45522733. The reversal of 45522720 is 2722554.

45522720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 11370384 = 5844^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 145284 + ... + 145596.

Almost surely, 2^45522720 is an apocalyptic number.

45522720 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 45522720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78692796).

45522720 is an abundant number, since it is smaller than the sum of its proper divisors (111862872).

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

45522720 is a wasteful number, since it uses less digits than its factorization.

45522720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45522720 is about 6747.0526898787. The cubic root of 45522720 is about 357.0612610545.

The spelling of 45522720 in words is "forty-five million, five hundred twenty-two thousand, seven hundred twenty".