73821888 has 224 divisors, whose sum is σ = 263347200. Its totient is φ = 19795968.

The previous prime is 73821863. The next prime is 73821889. The reversal of 73821888 is 88812837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×73821888² = 10899342295769088, which contains 22 as substring.

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 (73821889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205453 + ... + 205811.

Almost surely, 2^73821888 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 73821888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

73821888 is an abundant number, since it is smaller than the sum of its proper divisors (189525312).

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

73821888 is a wasteful number, since it uses less digits than its factorization.

73821888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 73821888 is about 8591.9664803815. The cubic root of 73821888 is about 419.4965395926.

The spelling of 73821888 in words is "seventy-three million, eight hundred twenty-one thousand, eight hundred eighty-eight".