73885500 has 192 divisors, whose sum is σ = 258061440. Its totient is φ = 18144000.

The previous prime is 73885463. The next prime is 73885507. The reversal of 73885500 is 558837.

It is a happy number.

73885500 is a `hidden beast` number, since 73 + 8 + 85 + 500 = 666.

It is a super-2 number, since 2×73885500² = 10918134220500000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73885507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175290 + ... + 175710.

It is an arithmetic number, because the mean of its divisors is an integer number (1344070).

Almost surely, 2^73885500 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 73885500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129030720).

73885500 is an abundant number, since it is smaller than the sum of its proper divisors (184175940).

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

73885500 is a wasteful number, since it uses less digits than its factorization.

73885500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 73885500 is about 8595.6675133465. The cubic root of 73885500 is about 419.6169977814.

The spelling of 73885500 in words is "seventy-three million, eight hundred eighty-five thousand, five hundred".