45595872 has 180 divisors, whose sum is σ = 156423960. Its totient is φ = 12991104.

The previous prime is 45595861. The next prime is 45595889. The reversal of 45595872 is 27859554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126829 + ... + 127187.

It is an arithmetic number, because the mean of its divisors is an integer number (869022).

Almost surely, 2^45595872 is an apocalyptic number.

45595872 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 45595872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78211980).

45595872 is an abundant number, since it is smaller than the sum of its proper divisors (110828088).

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

45595872 is a wasteful number, since it uses less digits than its factorization.

45595872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 371 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 45595872 is about 6752.4715475150. The cubic root of 45595872 is about 357.2524166426.

The spelling of 45595872 in words is "forty-five million, five hundred ninety-five thousand, eight hundred seventy-two".