45720 has 48 divisors (see below), whose sum is σ = 149760. Its totient is φ = 12096.

The previous prime is 45707. The next prime is 45737. The reversal of 45720 is 2754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 45693 and 45702.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45720.

It is an unprimeable number.

45720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁴⁵⁷²⁰ is an apocalyptic number.

45720 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 45720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

45720 is an abundant number, since it is smaller than the sum of its proper divisors (104040).

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

45720 is a wasteful number, since it uses less digits than its factorization.

45720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 45720 is about 213.8223561745. The cubic root of 45720 is about 35.7576311810.

It can be divided in two parts, 45 and 720, that multiplied together give a square (32400 = 180²).

The spelling of 45720 in words is "forty-five thousand, seven hundred twenty".