73905400 has 48 divisors (see below), whose sum is σ = 172422000. Its totient is φ = 29460480.

The previous prime is 73905361. The next prime is 73905401. The reversal of 73905400 is 450937.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73905401) 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, 89389 + ... + 90211.

It is an arithmetic number, because the mean of its divisors is an integer number (3592125).

Almost surely, 2^73905400 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 73905400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86211000).

73905400 is an abundant number, since it is smaller than the sum of its proper divisors (98516600).

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

73905400 is a wasteful number, since it uses less digits than its factorization.

73905400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 73905400 is about 8596.8249953108. The cubic root of 73905400 is about 419.6546670069.

It can be divided in two parts, 73905 and 400, that added together give a triangular number (74305 = T₃₈₅).

The spelling of 73905400 in words is "seventy-three million, nine hundred five thousand, four hundred".