73833984 has 240 divisors, whose sum is σ = 256568400. Its totient is φ = 20901888.

The previous prime is 73833983. The next prime is 73834001. The reversal of 73833984 is 48933837.

It is a happy number.

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 (73833983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677322 + ... + 677430.

It is an arithmetic number, because the mean of its divisors is an integer number (1069035).

Almost surely, 2^73833984 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 73833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128284200).

73833984 is an abundant number, since it is smaller than the sum of its proper divisors (182734416).

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

73833984 is a wasteful number, since it uses less digits than its factorization.

73833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 121 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73833984 is about 8592.6703649099. The cubic root of 73833984 is about 419.5194503813.

It can be divided in two parts, 7383398 and 4, that multiplied together give a palindrome (29533592).

The spelling of 73833984 in words is "seventy-three million, eight hundred thirty-three thousand, nine hundred eighty-four".