73898000 has 80 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 26864000.

The previous prime is 73897987. The next prime is 73898009. The reversal of 73898000 is 89837.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (73898009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20321 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^73898000 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 73898000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

73898000 is an abundant number, since it is smaller than the sum of its proper divisors (121089520).

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

73898000 is a wasteful number, since it uses less digits than its factorization.

73898000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 73898000 is about 8596.3945930838. The cubic root of 73898000 is about 419.6406601450.

The spelling of 73898000 in words is "seventy-three million, eight hundred ninety-eight thousand".