73435040 has 96 divisors (see below), whose sum is σ = 199946880. Its totient is φ = 24966144.

The previous prime is 73435039. The next prime is 73435049. The reversal of 73435040 is 4053437.

It is not an unprimeable number, because it can be changed into a prime (73435049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193571 + ... + 193949.

It is an arithmetic number, because the mean of its divisors is an integer number (2082780).

Almost surely, 2^73435040 is an apocalyptic number.

73435040 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 73435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99973440).

73435040 is an abundant number, since it is smaller than the sum of its proper divisors (126511840).

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

73435040 is a wasteful number, since it uses less digits than its factorization.

73435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 73435040 is about 8569.4247181477. The cubic root of 73435040 is about 418.7624949119.

Adding to 73435040 its reverse (4053437), we get a palindrome (77488477).

The spelling of 73435040 in words is "seventy-three million, four hundred thirty-five thousand, forty".