73440000 has 360 divisors, whose sum is σ = 287345520. Its totient is φ = 18432000.

The previous prime is 73439999. The next prime is 73440007. The reversal of 73440000 is 4437.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (73440007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319992 + ... + 4320008.

It is an arithmetic number, because the mean of its divisors is an integer number (798182).

Almost surely, 2^73440000 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 73440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143672760).

73440000 is an abundant number, since it is smaller than the sum of its proper divisors (213905520).

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

73440000 is an equidigital number, since it uses as much as digits as its factorization.

73440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 73440000 is about 8569.7141142514. The cubic root of 73440000 is about 418.7719228145.

Adding to 73440000 its reverse (4437), we get a palindrome (73444437).

The spelling of 73440000 in words is "seventy-three million, four hundred forty thousand".