73468400 has 60 divisors (see below), whose sum is σ = 179460984. Its totient is φ = 28896000.

The previous prime is 73468399. The next prime is 73468403. The reversal of 73468400 is 486437.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73468403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22895 + ... + 25905.

Almost surely, 2^73468400 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 73468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89730492).

73468400 is an abundant number, since it is smaller than the sum of its proper divisors (105992584).

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

73468400 is a wasteful number, since it uses less digits than its factorization.

73468400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 73468400 is about 8571.3709521873. The cubic root of 73468400 is about 418.8258969879.

The spelling of 73468400 in words is "seventy-three million, four hundred sixty-eight thousand, four hundred".