73381644 has 72 divisors (see below), whose sum is σ = 214949280. Its totient is φ = 20673792.

The previous prime is 73381603. The next prime is 73381669. The reversal of 73381644 is 44618337.

73381644 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 1 + 644 = 666.

It is a super-2 number, since 2×73381644² = 10769731352285472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 73381599 and 73381608.

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, 16402 + ... + 20390.

Almost surely, 2^73381644 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 73381644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107474640).

73381644 is an abundant number, since it is smaller than the sum of its proper divisors (141567636).

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

73381644 is a wasteful number, since it uses less digits than its factorization.

73381644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4074 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 73381644 is about 8566.3086565918. The cubic root of 73381644 is about 418.6609736042.

The spelling of 73381644 in words is "seventy-three million, three hundred eighty-one thousand, six hundred forty-four".