73240440 has 256 divisors, whose sum is σ = 285465600. Its totient is φ = 14598144.

The previous prime is 73240423. The next prime is 73240451. The reversal of 73240440 is 4404237.

It is a super-4 number, since 4×73240440⁴ (a number of 33 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73240440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207304 + ... + 207656.

It is an arithmetic number, because the mean of its divisors is an integer number (1115100).

Almost surely, 2^73240440 is an apocalyptic number.

73240440 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 73240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142732800).

73240440 is an abundant number, since it is smaller than the sum of its proper divisors (212225160).

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

73240440 is a wasteful number, since it uses less digits than its factorization.

73240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 73240440 is about 8558.0628649245. The cubic root of 73240440 is about 418.3922662468.

73240440 divided by its sum of digits (24) gives a triangular number (3051685 = T₂₄₇₀).

Adding to 73240440 its reverse (4404237), we get a palindrome (77644677).

The spelling of 73240440 in words is "seventy-three million, two hundred forty thousand, four hundred forty".