73650400 has 72 divisors (see below), whose sum is σ = 184066344. Its totient is φ = 28761600.

The previous prime is 73650397. The next prime is 73650413. The reversal of 73650400 is 405637.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 33330 + ... + 35470.

It is an arithmetic number, because the mean of its divisors is an integer number (2556477).

Almost surely, 2^73650400 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 73650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92033172).

73650400 is an abundant number, since it is smaller than the sum of its proper divisors (110415944).

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

73650400 is a wasteful number, since it uses less digits than its factorization.

73650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 73650400 is about 8581.9811232605. The cubic root of 73650400 is about 419.1714580532.

The spelling of 73650400 in words is "seventy-three million, six hundred fifty thousand, four hundred".