45720288 has 120 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 14722560.

The previous prime is 45720247. The next prime is 45720299. The reversal of 45720288 is 88202754.

It is a happy number.

45720288 is a `hidden beast` number, since 4 + 572 + 0 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 80068 + ... + 80636.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 2^45720288 is an apocalyptic number.

45720288 is a gapful number since it is divisible by the number (48) 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 45720288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

45720288 is an abundant number, since it is smaller than the sum of its proper divisors (93323232).

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

45720288 is a wasteful number, since it uses less digits than its factorization.

45720288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45720288 is about 6761.6778982735. The cubic root of 45720288 is about 357.5770626250.

The spelling of 45720288 in words is "forty-five million, seven hundred twenty thousand, two hundred eighty-eight".