44073216 has 216 divisors, whose sum is σ = 145401984. Its totient is φ = 12718080.

The previous prime is 44073209. The next prime is 44073223. The reversal of 44073216 is 61237044.

44073216 = 73³ + 74³ + ... + 119³.

44073216 is a `hidden beast` number, since 440 + 7 + 3 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (44073209) and next prime (44073223).

It is a self number, because there is not a number n which added to its sum of digits gives 44073216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937705 + ... + 937751.

Almost surely, 2^44073216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72700992).

44073216 is an abundant number, since it is smaller than the sum of its proper divisors (101328768).

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

44073216 is a wasteful number, since it uses less digits than its factorization.

44073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 44073216 is about 6638.7661504228. The cubic root of 44073216 is about 353.2305416743.

The spelling of 44073216 in words is "forty-four million, seventy-three thousand, two hundred sixteen".