73440640 has 192 divisors, whose sum is σ = 219512160. Its totient is φ = 23003136.

The previous prime is 73440623. The next prime is 73440659. The reversal of 73440640 is 4604437.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 73440599 and 73440608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757072 + ... + 757168.

Almost surely, 2^73440640 is an apocalyptic number.

73440640 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 73440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109756080).

73440640 is an abundant number, since it is smaller than the sum of its proper divisors (146071520).

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

73440640 is a wasteful number, since it uses less digits than its factorization.

73440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 73440640 is about 8569.7514549723. The cubic root of 73440640 is about 418.7731392872.

The spelling of 73440640 in words is "seventy-three million, four hundred forty thousand, six hundred forty".