44806272 has 128 divisors (see below), whose sum is σ = 138393600. Its totient is φ = 12579840.

The previous prime is 44806259. The next prime is 44806273. The reversal of 44806272 is 27260844.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (44806273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212247 + ... + 212457.

It is an arithmetic number, because the mean of its divisors is an integer number (1081200).

Almost surely, 2^44806272 is an apocalyptic number.

44806272 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 44806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69196800).

44806272 is an abundant number, since it is smaller than the sum of its proper divisors (93587328).

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

44806272 is a wasteful number, since it uses less digits than its factorization.

44806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 44806272 is about 6693.7487254901. The cubic root of 44806272 is about 355.1781741317.

The spelling of 44806272 in words is "forty-four million, eight hundred six thousand, two hundred seventy-two".