73135440 has 240 divisors, whose sum is σ = 293463360. Its totient is φ = 16692480.

The previous prime is 73135399. The next prime is 73135441. The reversal of 73135440 is 4453137.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73135441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105495 + ... + 106185.

It is an arithmetic number, because the mean of its divisors is an integer number (1222764).

Almost surely, 2^73135440 is an apocalyptic number.

73135440 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 73135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146731680).

73135440 is an abundant number, since it is smaller than the sum of its proper divisors (220327920).

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

73135440 is a wasteful number, since it uses less digits than its factorization.

73135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 73135440 is about 8551.9260988388. The cubic root of 73135440 is about 418.1922301354.

Adding to 73135440 its reverse (4453137), we get a palindrome (77588577).

The spelling of 73135440 in words is "seventy-three million, one hundred thirty-five thousand, four hundred forty".