73438500 has 96 divisors (see below), whose sum is σ = 215849088. Its totient is φ = 19401600.

The previous prime is 73438493. The next prime is 73438501. The reversal of 73438500 is 583437.

73438500 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73438501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259359 + ... + 259641.

It is an arithmetic number, because the mean of its divisors is an integer number (2248428).

Almost surely, 2^73438500 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 73438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107924544).

73438500 is an abundant number, since it is smaller than the sum of its proper divisors (142410588).

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

73438500 is a wasteful number, since it uses less digits than its factorization.

73438500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 73438500 is about 8569.6265962993. The cubic root of 73438500 is about 418.7690716791.

The spelling of 73438500 in words is "seventy-three million, four hundred thirty-eight thousand, five hundred".