45342720 has 224 divisors, whose sum is σ = 165140640. Its totient is φ = 11796480.

The previous prime is 45342707. The next prime is 45342727. The reversal of 45342720 is 2724354.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45342727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1105900 + ... + 1105940.

It is an arithmetic number, because the mean of its divisors is an integer number (737235).

Almost surely, 2^45342720 is an apocalyptic number.

45342720 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 45342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82570320).

45342720 is an abundant number, since it is smaller than the sum of its proper divisors (119797920).

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

45342720 is an equidigital number, since it uses as much as digits as its factorization.

45342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45342720 is about 6733.7003200321. The cubic root of 45342720 is about 356.5900243894.

The spelling of 45342720 in words is "forty-five million, three hundred forty-two thousand, seven hundred twenty".