73988600 has 96 divisors (see below), whose sum is σ = 201549600. Its totient is φ = 24729600.

The previous prime is 73988597. The next prime is 73988609. The reversal of 73988600 is 688937.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73988609) 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, 56756 + ... + 58044.

It is an arithmetic number, because the mean of its divisors is an integer number (2099475).

Almost surely, 2^73988600 is an apocalyptic number.

73988600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73988600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774800).

73988600 is an abundant number, since it is smaller than the sum of its proper divisors (127561000).

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

73988600 is a wasteful number, since it uses less digits than its factorization.

73988600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 73988600 is about 8601.6626299803. The cubic root of 73988600 is about 419.8120852486.

The spelling of 73988600 in words is "seventy-three million, nine hundred eighty-eight thousand, six hundred".