73883376 has 180 divisors, whose sum is σ = 247903032. Its totient is φ = 20466432.

The previous prime is 73883351. The next prime is 73883401. The reversal of 73883376 is 67338837.

It is an interprime number because it is at equal distance from previous prime (73883351) and next prime (73883401).

It is a super-3 number, since 3×73883376³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260931 + ... + 261213.

Almost surely, 2^73883376 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 73883376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123951516).

73883376 is an abundant number, since it is smaller than the sum of its proper divisors (174019656).

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

73883376 is a wasteful number, since it uses less digits than its factorization.

73883376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 73883376 is about 8595.5439618444. The cubic root of 73883376 is about 419.6129768073.

The spelling of 73883376 in words is "seventy-three million, eight hundred eighty-three thousand, three hundred seventy-six".