45752064 has 72 divisors (see below), whose sum is σ = 124822992. Its totient is φ = 14868480.

The previous prime is 45752051. The next prime is 45752071. The reversal of 45752064 is 46025754.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30762 + ... + 32214.

Almost surely, 2^45752064 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 45752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411496).

45752064 is an abundant number, since it is smaller than the sum of its proper divisors (79070928).

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

45752064 is a wasteful number, since it uses less digits than its factorization.

45752064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45752064 is about 6764.0272027839. The cubic root of 45752064 is about 357.6598831695.

The spelling of 45752064 in words is "forty-five million, seven hundred fifty-two thousand, sixty-four".