73996200 has 192 divisors, whose sum is σ = 259804800. Its totient is φ = 19353600.

The previous prime is 73996199. The next prime is 73996217. The reversal of 73996200 is 269937.

It is a super-2 number, since 2×73996200² = 10950875228880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 383304 + ... + 383496.

It is an arithmetic number, because the mean of its divisors is an integer number (1353150).

Almost surely, 2^73996200 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 73996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129902400).

73996200 is an abundant number, since it is smaller than the sum of its proper divisors (185808600).

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

73996200 is a wasteful number, since it uses less digits than its factorization.

73996200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 73996200 is about 8602.1043936934. The cubic root of 73996200 is about 419.8264589162.

The spelling of 73996200 in words is "seventy-three million, nine hundred ninety-six thousand, two hundred".