73642000 has 40 divisors (see below), whose sum is σ = 178071192. Its totient is φ = 29456000.

The previous prime is 73641989. The next prime is 73642007. The reversal of 73642000 is 24637.

It can be written as a sum of positive squares in 4 ways, for example, as 6533136 + 67108864 = 2556^2 + 8192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (73642007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16411 + ... + 20410.

Almost surely, 2^73642000 is an apocalyptic number.

It is an amenable number.

73642000 is an abundant number, since it is smaller than the sum of its proper divisors (104429192).

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

73642000 is a wasteful number, since it uses less digits than its factorization.

73642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36844 (or 36828 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 73642000 is about 8581.4917118179. The cubic root of 73642000 is about 419.1555216197.

Adding to 73642000 its reverse (24637), we get a palindrome (73666637).

The spelling of 73642000 in words is "seventy-three million, six hundred forty-two thousand".