73016640 has 196 divisors, whose sum is σ = 261519924. Its totient is φ = 19408896.

The previous prime is 73016633. The next prime is 73016659. The reversal of 73016640 is 4661037.

73016640 is a `hidden beast` number, since 7 + 3 + 0 + 16 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 63872064 = 3024^2 + 7992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233124 + ... + 233436.

Almost surely, 2^73016640 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 73016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130759962).

73016640 is an abundant number, since it is smaller than the sum of its proper divisors (188503284).

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

73016640 is an equidigital number, since it uses as much as digits as its factorization.

73016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73016640 is about 8544.9774721763. The cubic root of 73016640 is about 417.9656725700.

Adding to 73016640 its reverse (4661037), we get a palindrome (77677677).

The spelling of 73016640 in words is "seventy-three million, sixteen thousand, six hundred forty".