45888720 has 80 divisors (see below), whose sum is σ = 144312192. Its totient is φ = 12060160.

The previous prime is 45888719. The next prime is 45888751. The reversal of 45888720 is 2788854.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15694 + ... + 18386.

Almost surely, 2^45888720 is an apocalyptic number.

45888720 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 45888720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72156096).

45888720 is an abundant number, since it is smaller than the sum of its proper divisors (98423472).

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

45888720 is a wasteful number, since it uses less digits than its factorization.

45888720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 45888720 is about 6774.1213452373. The cubic root of 45888720 is about 358.0156251308.

The spelling of 45888720 in words is "forty-five million, eight hundred eighty-eight thousand, seven hundred twenty".