73003840 has 224 divisors, whose sum is σ = 225308160. Its totient is φ = 21897216.

The previous prime is 73003837. The next prime is 73003859. The reversal of 73003840 is 4830037.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669706 + ... + 669814.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^73003840 is an apocalyptic number.

73003840 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 73003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

73003840 is an abundant number, since it is smaller than the sum of its proper divisors (152304320).

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

73003840 is a wasteful number, since it uses less digits than its factorization.

73003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 73003840 is about 8544.2284613650. The cubic root of 73003840 is about 417.9412476660.

Adding to 73003840 its reverse (4830037), we get a palindrome (77833877).

The spelling of 73003840 in words is "seventy-three million, three thousand, eight hundred forty".