45243072 has 168 divisors, whose sum is σ = 151892000. Its totient is φ = 12870144.

The previous prime is 45243071. The next prime is 45243083. The reversal of 45243072 is 27034254.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (45243071) 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 23 ways as a sum of consecutive naturals, for example, 197454 + ... + 197682.

Almost surely, 2^45243072 is an apocalyptic number.

45243072 is a gapful number since it is divisible by the number (42) 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 45243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75946000).

45243072 is an abundant number, since it is smaller than the sum of its proper divisors (106648928).

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

45243072 is a wasteful number, since it uses less digits than its factorization.

45243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45243072 is about 6726.2970496403. The cubic root of 45243072 is about 356.3286112763.

The spelling of 45243072 in words is "forty-five million, two hundred forty-three thousand, seventy-two".