73405440 has 264 divisors, whose sum is σ = 268238880. Its totient is φ = 19243008.

The previous prime is 73405411. The next prime is 73405469. The reversal of 73405440 is 4450437.

It is an interprime number because it is at equal distance from previous prime (73405411) and next prime (73405469).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244131 + ... + 1244189.

Almost surely, 2^73405440 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 73405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134119440).

73405440 is an abundant number, since it is smaller than the sum of its proper divisors (194833440).

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

73405440 is an equidigital number, since it uses as much as digits as its factorization.

73405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 73405440 is about 8567.6974736507. The cubic root of 73405440 is about 418.7062227942.

Adding to 73405440 its reverse (4450437), we get a palindrome (77855877).

The spelling of 73405440 in words is "seventy-three million, four hundred five thousand, four hundred forty".