45872720 has 20 divisors (see below), whose sum is σ = 106654260. Its totient is φ = 18349056.

The previous prime is 45872713. The next prime is 45872737. The reversal of 45872720 is 2727854.

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 13337104 = 5704^2 + 3652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286625 + ... + 286784.

It is an arithmetic number, because the mean of its divisors is an integer number (5332713).

Almost surely, 2^45872720 is an apocalyptic number.

45872720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45872720 is an abundant number, since it is smaller than the sum of its proper divisors (60781540).

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

45872720 is a wasteful number, since it uses less digits than its factorization.

45872720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573422 (or 573416 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 45872720 is about 6772.9402773094. The cubic root of 45872720 is about 357.9740105765.

The spelling of 45872720 in words is "forty-five million, eight hundred seventy-two thousand, seven hundred twenty".