73309440 has 144 divisors (see below), whose sum is σ = 248125248. Its totient is φ = 18382848.

The previous prime is 73309427. The next prime is 73309463. The reversal of 73309440 is 4490337.

It is a super-2 number, since 2×73309440² = 10748547986227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 73309398 and 73309407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64719 + ... + 65841.

It is an arithmetic number, because the mean of its divisors is an integer number (1723092).

Almost surely, 2^73309440 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 73309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124062624).

73309440 is an abundant number, since it is smaller than the sum of its proper divisors (174815808).

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

73309440 is a wasteful number, since it uses less digits than its factorization.

73309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 73309440 is about 8562.0932020155. The cubic root of 73309440 is about 418.5236144712.

Adding to 73309440 its reverse (4490337), we get a palindrome (77799777).

The spelling of 73309440 in words is "seventy-three million, three hundred nine thousand, four hundred forty".