73008240 has 80 divisors (see below), whose sum is σ = 228521088. Its totient is φ = 19280128.

The previous prime is 73008209. The next prime is 73008253. The reversal of 73008240 is 4280037.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 73008240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24259 + ... + 27101.

Almost surely, 2^73008240 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 73008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114260544).

73008240 is an abundant number, since it is smaller than the sum of its proper divisors (155512848).

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

73008240 is a wasteful number, since it uses less digits than its factorization.

73008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 73008240 is about 8544.4859412372. The cubic root of 73008240 is about 417.9496440488.

Adding to 73008240 its reverse (4280037), we get a palindrome (77288277).

The spelling of 73008240 in words is "seventy-three million, eight thousand, two hundred forty".