73441000 has 48 divisors (see below), whose sum is σ = 172488420. Its totient is φ = 29268000.

The previous prime is 73440959. The next prime is 73441013. The reversal of 73441000 is 14437.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 49646116 + 23794884 = 7046^2 + 4878^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270865 + ... + 271135.

Almost surely, 2^73441000 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 73441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244210).

73441000 is an abundant number, since it is smaller than the sum of its proper divisors (99047420).

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

73441000 is an equidigital number, since it uses as much as digits as its factorization.

73441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 73441000 is about 8569.7724590563. The cubic root of 73441000 is about 418.7738235499.

Adding to 73441000 its reverse (14437), we get a palindrome (73455437).

The spelling of 73441000 in words is "seventy-three million, four hundred forty-one thousand".