73280500 has 48 divisors (see below), whose sum is σ = 161585424. Its totient is φ = 29030400.

The previous prime is 73280453. The next prime is 73280509. The reversal of 73280500 is 508237.

It can be written as a sum of positive squares in 8 ways, for example, as 21123216 + 52157284 = 4596^2 + 7222^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73280509) 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, 55852 + ... + 57148.

It is an arithmetic number, because the mean of its divisors is an integer number (3366363).

Almost surely, 2^73280500 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 73280500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80792712).

73280500 is an abundant number, since it is smaller than the sum of its proper divisors (88304924).

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

73280500 is a wasteful number, since it uses less digits than its factorization.

73280500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 73280500 is about 8560.4030278954. The cubic root of 73280500 is about 418.4685343999.

Adding to 73280500 its reverse (508237), we get a palindrome (73788737).

The spelling of 73280500 in words is "seventy-three million, two hundred eighty thousand, five hundred".