73821384 has 192 divisors, whose sum is σ = 259459200. Its totient is φ = 18413568.

The previous prime is 73821383. The next prime is 73821389. The reversal of 73821384 is 48312837.

It is a super-3 number, since 3×73821384³ (a number of 25 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (73821383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124192 + ... + 124784.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^73821384 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 73821384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

73821384 is an abundant number, since it is smaller than the sum of its proper divisors (185637816).

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

73821384 is a wasteful number, since it uses less digits than its factorization.

73821384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 73821384 is about 8591.9371506081. The cubic root of 73821384 is about 419.4955849221.

It can be divided in two parts, 738 and 21384, that added together give a palindrome (22122).

The spelling of 73821384 in words is "seventy-three million, eight hundred twenty-one thousand, three hundred eighty-four".