45126720 has 140 divisors (see below), whose sum is σ = 160615884. Its totient is φ = 12026880.

The previous prime is 45126709. The next prime is 45126733. The reversal of 45126720 is 2762154.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 40144896 = 2232^2 + 6336^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25050 + ... + 26790.

Almost surely, 2^45126720 is an apocalyptic number.

45126720 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 45126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80307942).

45126720 is an abundant number, since it is smaller than the sum of its proper divisors (115489164).

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

45126720 is a wasteful number, since it uses less digits than its factorization.

45126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45126720 is about 6717.6424435958. The cubic root of 45126720 is about 356.0228912604.

Adding to 45126720 its reverse (2762154), we get a palindrome (47888874).

The spelling of 45126720 in words is "forty-five million, one hundred twenty-six thousand, seven hundred twenty".