73669800 has 96 divisors (see below), whose sum is σ = 229896000. Its totient is φ = 19514880.

The previous prime is 73669781. The next prime is 73669807. The reversal of 73669800 is 896637.

It is not an unprimeable number, because it can be changed into a prime (73669807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119092 + ... + 119708.

It is an arithmetic number, because the mean of its divisors is an integer number (2394750).

Almost surely, 2^73669800 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 73669800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114948000).

73669800 is an abundant number, since it is smaller than the sum of its proper divisors (156226200).

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

73669800 is a wasteful number, since it uses less digits than its factorization.

73669800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 73669800 is about 8583.1113239897. Note that the first 3 decimals coincide. The cubic root of 73669800 is about 419.2082589956.

The spelling of 73669800 in words is "seventy-three million, six hundred sixty-nine thousand, eight hundred".