45252072 has 72 divisors (see below), whose sum is σ = 129421890. Its totient is φ = 14281920.

The previous prime is 45252071. The next prime is 45252083. The reversal of 45252072 is 27025254.

45252072 is a `hidden beast` number, since 452 + 5 + 207 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45239076 + 12996 = 6726^2 + 114^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45252071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25122 + ... + 26862.

Almost surely, 2^45252072 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 45252072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64710945).

45252072 is an abundant number, since it is smaller than the sum of its proper divisors (84169818).

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

45252072 is a wasteful number, since it uses less digits than its factorization.

45252072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1765 counting only the distinct ones).

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

The square root of 45252072 is about 6726.9660323210. The cubic root of 45252072 is about 356.3522373236.

The spelling of 45252072 in words is "forty-five million, two hundred fifty-two thousand, seventy-two".