44386272 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 12303360.

The previous prime is 44386271. The next prime is 44386291. The reversal of 44386272 is 27268344.

44386272 is a `hidden beast` number, since 4 + 4 + 386 + 272 = 666.

It is a super-2 number, since 2×44386272² = 3940282284115968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44386271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247879 + ... + 248057.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^44386272 is an apocalyptic number.

44386272 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 44386272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

44386272 is an abundant number, since it is smaller than the sum of its proper divisors (108023328).

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

44386272 is a wasteful number, since it uses less digits than its factorization.

44386272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 232 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 44386272 is about 6662.3023047592. The cubic root of 44386272 is about 354.0649119690.

The spelling of 44386272 in words is "forty-four million, three hundred eighty-six thousand, two hundred seventy-two".