73966500 has 96 divisors (see below), whose sum is σ = 239366400. Its totient is φ = 19720800.

The previous prime is 73966483. The next prime is 73966511. The reversal of 73966500 is 566937.

It is a happy number.

It is a super-3 number, since 3×73966500³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10761 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (2493400).

Almost surely, 2^73966500 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 73966500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119683200).

73966500 is an abundant number, since it is smaller than the sum of its proper divisors (165399900).

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

73966500 is a wasteful number, since it uses less digits than its factorization.

73966500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 73966500 is about 8600.3778986740. The cubic root of 73966500 is about 419.7702825431.

The spelling of 73966500 in words is "seventy-three million, nine hundred sixty-six thousand, five hundred".