73001600 has 96 divisors (see below), whose sum is σ = 206162400. Its totient is φ = 25021440.

The previous prime is 73001581. The next prime is 73001603. The reversal of 73001600 is 610037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73001603) 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 11 ways as a sum of consecutive naturals, for example, 20771 + ... + 24029.

It is an arithmetic number, because the mean of its divisors is an integer number (2147525).

Almost surely, 2^73001600 is an apocalyptic number.

73001600 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 73001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103081200).

73001600 is an abundant number, since it is smaller than the sum of its proper divisors (133160800).

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

73001600 is a wasteful number, since it uses less digits than its factorization.

73001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 73001600 is about 8544.0973777222. The cubic root of 73001600 is about 417.9369730143.

Adding to 73001600 its reverse (610037), we get a palindrome (73611637).

The spelling of 73001600 in words is "seventy-three million, one thousand, six hundred".