73094400 has 324 divisors, whose sum is σ = 276773952. Its totient is φ = 19077120.

The previous prime is 73094393. The next prime is 73094467. The reversal of 73094400 is 449037.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×73094400² = 10685582622720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555177 + ... + 1555223.

Almost surely, 2^73094400 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 73094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138386976).

73094400 is an abundant number, since it is smaller than the sum of its proper divisors (203679552).

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

73094400 is an equidigital number, since it uses as much as digits as its factorization.

73094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 73094400 is about 8549.5263026673. The cubic root of 73094400 is about 418.1139925514.

The spelling of 73094400 in words is "seventy-three million, ninety-four thousand, four hundred".