73401600 has 108 divisors (see below), whose sum is σ = 242303936. Its totient is φ = 19568640.

The previous prime is 73401571. The next prime is 73401607. The reversal of 73401600 is 610437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73401607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17289 + ... + 21111.

Almost surely, 2^73401600 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 73401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121151968).

73401600 is an abundant number, since it is smaller than the sum of its proper divisors (168902336).

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

73401600 is a wasteful number, since it uses less digits than its factorization.

73401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 73401600 is about 8567.4733731713. The cubic root of 73401600 is about 418.6989215191.

The spelling of 73401600 in words is "seventy-three million, four hundred one thousand, six hundred".