73106400 has 144 divisors (see below), whose sum is σ = 241484544. Its totient is φ = 19207680.

The previous prime is 73106387. The next prime is 73106441. The reversal of 73106400 is 460137.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199017 + ... + 199383.

It is an arithmetic number, because the mean of its divisors is an integer number (1676976).

Almost surely, 2^73106400 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 73106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120742272).

73106400 is an abundant number, since it is smaller than the sum of its proper divisors (168378144).

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

73106400 is a wasteful number, since it uses less digits than its factorization.

73106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

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

The square root of 73106400 is about 8550.2280671336. The cubic root of 73106400 is about 418.1368720669.

Adding to 73106400 its reverse (460137), we get a palindrome (73566537).

The spelling of 73106400 in words is "seventy-three million, one hundred six thousand, four hundred".