73305540 has 384 divisors, whose sum is σ = 298045440. Its totient is φ = 14515200.

The previous prime is 73305527. The next prime is 73305541. The reversal of 73305540 is 4550337.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73305541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1704759 + ... + 1704801.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 2^73305540 is an apocalyptic number.

73305540 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 73305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

73305540 is an abundant number, since it is smaller than the sum of its proper divisors (224739900).

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

73305540 is a wasteful number, since it uses less digits than its factorization.

73305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 73305540 is about 8561.8654509400. The cubic root of 73305540 is about 418.5161926392.

Adding to 73305540 its reverse (4550337), we get a palindrome (77855877).

The spelling of 73305540 in words is "seventy-three million, three hundred five thousand, five hundred forty".