45763872 has 192 divisors, whose sum is σ = 154441728. Its totient is φ = 11520000.

The previous prime is 45763867. The next prime is 45763873. The reversal of 45763872 is 27836754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45763873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302997 + ... + 303147.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^45763872 is an apocalyptic number.

45763872 is a gapful number since it is divisible by the number (42) 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 45763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

45763872 is an abundant number, since it is smaller than the sum of its proper divisors (108677856).

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

45763872 is a wasteful number, since it uses less digits than its factorization.

45763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 45763872 is about 6764.8999992609. The cubic root of 45763872 is about 357.6906496112.

It can be divided in two parts, 4576 and 3872, that added together give a palindrome (8448).

The spelling of 45763872 in words is "forty-five million, seven hundred sixty-three thousand, eight hundred seventy-two".