45847872 has 168 divisors, whose sum is σ = 153107136. Its totient is φ = 12847104.

The previous prime is 45847859. The next prime is 45847883. The reversal of 45847872 is 27874854.

It is a tau number, because it is divible by the number of its divisors (168).

Its product of digits (501760) is a multiple of the sum of its prime factors (245).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334588 + ... + 334724.

It is an arithmetic number, because the mean of its divisors is an integer number (911352).

Almost surely, 2^45847872 is an apocalyptic number.

45847872 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 45847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76553568).

45847872 is an abundant number, since it is smaller than the sum of its proper divisors (107259264).

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

45847872 is a wasteful number, since it uses less digits than its factorization.

45847872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 45847872 is about 6771.1056704205. The cubic root of 45847872 is about 357.9093639867.

The spelling of 45847872 in words is "forty-five million, eight hundred forty-seven thousand, eight hundred seventy-two".