73031040 has 192 divisors, whose sum is σ = 260956800. Its totient is φ = 18800640.

The previous prime is 73031033. The next prime is 73031047. The reversal of 73031040 is 4013037.

It is an interprime number because it is at equal distance from previous prime (73031033) and next prime (73031047).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73031047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178356 + ... + 178764.

It is an arithmetic number, because the mean of its divisors is an integer number (1359150).

Almost surely, 2^73031040 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 73031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130478400).

73031040 is an abundant number, since it is smaller than the sum of its proper divisors (187925760).

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

73031040 is a wasteful number, since it uses less digits than its factorization.

73031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 73031040 is about 8545.8200308689. The cubic root of 73031040 is about 417.9931471752.

Adding to 73031040 its reverse (4013037), we get a palindrome (77044077).

The spelling of 73031040 in words is "seventy-three million, thirty-one thousand, forty".