45578720 has 192 divisors, whose sum is σ = 130636800. Its totient is φ = 14837760.

The previous prime is 45578719. The next prime is 45578737. The reversal of 45578720 is 2787554.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969737 + ... + 969783.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^45578720 is an apocalyptic number.

45578720 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 45578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

45578720 is an abundant number, since it is smaller than the sum of its proper divisors (85058080).

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

45578720 is a wasteful number, since it uses less digits than its factorization.

45578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 45578720 is about 6751.2013745703. The cubic root of 45578720 is about 357.2076146193.

The spelling of 45578720 in words is "forty-five million, five hundred seventy-eight thousand, seven hundred twenty".