73366400 has 96 divisors (see below), whose sum is σ = 183838680. Its totient is φ = 28928000.

The previous prime is 73366399. The next prime is 73366409. The reversal of 73366400 is 466337.

73366400 = T₈₀ + T₈₁ + ... + T₇₆₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73366409) 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, 323087 + ... + 323313.

Almost surely, 2^73366400 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 73366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91919340).

73366400 is an abundant number, since it is smaller than the sum of its proper divisors (110472280).

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

73366400 is a wasteful number, since it uses less digits than its factorization.

73366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 73366400 is about 8565.4188455673. The cubic root of 73366400 is about 418.6319812953.

The spelling of 73366400 in words is "seventy-three million, three hundred sixty-six thousand, four hundred".