73122400 has 144 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 26357760.

The previous prime is 73122391. The next prime is 73122407. The reversal of 73122400 is 422137.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73122407) 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 23 ways as a sum of consecutive naturals, for example, 821556 + ... + 821644.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^73122400 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 73122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

73122400 is an abundant number, since it is smaller than the sum of its proper divisors (123740000).

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

73122400 is a wasteful number, since it uses less digits than its factorization.

73122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 73122400 is about 8551.1636635022. The cubic root of 73122400 is about 418.1673741932.

Adding to 73122400 its reverse (422137), we get a palindrome (73544537).

The spelling of 73122400 in words is "seventy-three million, one hundred twenty-two thousand, four hundred".