73995600 has 240 divisors, whose sum is σ = 283410432. Its totient is φ = 16135680.

The previous prime is 73995599. The next prime is 73995613. The reversal of 73995600 is 659937.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193009 + ... + 193391.

Almost surely, 2^73995600 is an apocalyptic number.

73995600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141705216).

73995600 is an abundant number, since it is smaller than the sum of its proper divisors (209414832).

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

73995600 is a wasteful number, since it uses less digits than its factorization.

73995600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 73995600 is about 8602.0695184357. The cubic root of 73995600 is about 419.8253241887.

The spelling of 73995600 in words is "seventy-three million, nine hundred ninety-five thousand, six hundred".