45532872 has 192 divisors, whose sum is σ = 158146560. Its totient is φ = 11491200.

The previous prime is 45532859. The next prime is 45532889. The reversal of 45532872 is 27823554.

45532872 is a `hidden beast` number, since 45 + 532 + 87 + 2 = 666.

45532872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238297 + ... + 238487.

It is an arithmetic number, because the mean of its divisors is an integer number (823680).

Almost surely, 2^45532872 is an apocalyptic number.

45532872 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 45532872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79073280).

45532872 is an abundant number, since it is smaller than the sum of its proper divisors (112613688).

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

45532872 is a wasteful number, since it uses less digits than its factorization.

45532872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 45532872 is about 6747.8049764349. The cubic root of 45532872 is about 357.0878017686.

The spelling of 45532872 in words is "forty-five million, five hundred thirty-two thousand, eight hundred seventy-two".