73548900 has 108 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 19320000.

The previous prime is 73548899. The next prime is 73548913. The reversal of 73548900 is 984537.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63325 + ... + 64475.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^73548900 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 73548900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

73548900 is an abundant number, since it is smaller than the sum of its proper divisors (160436124).

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

73548900 is a wasteful number, since it uses less digits than its factorization.

73548900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73548900 is about 8576.0655314660. The cubic root of 73548900 is about 418.9788116109.

The spelling of 73548900 in words is "seventy-three million, five hundred forty-eight thousand, nine hundred".