45036720 has 120 divisors (see below), whose sum is σ = 153552672. Its totient is φ = 11827200.

The previous prime is 45036703. The next prime is 45036721. The reversal of 45036720 is 2763054.

It is a happy number.

45036720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×45036720² = 4056612296716800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45036721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50680 + ... + 51560.

Almost surely, 2^45036720 is an apocalyptic number.

45036720 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 45036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

45036720 is an abundant number, since it is smaller than the sum of its proper divisors (108515952).

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

45036720 is a wasteful number, since it uses less digits than its factorization.

45036720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 45036720 is about 6710.9403215943. The cubic root of 45036720 is about 355.7860516435.

Adding to 45036720 its reverse (2763054), we get a palindrome (47799774).

The spelling of 45036720 in words is "forty-five million, thirty-six thousand, seven hundred twenty".