73264000 has 128 divisors (see below), whose sum is σ = 192535200. Its totient is φ = 27648000.

The previous prime is 73263979. The next prime is 73264001. The reversal of 73264000 is 46237.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×73264000² = 10735227392000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303880 + ... + 304120.

Almost surely, 2^73264000 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 73264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96267600).

73264000 is an abundant number, since it is smaller than the sum of its proper divisors (119271200).

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

73264000 is a wasteful number, since it uses less digits than its factorization.

73264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

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

The square root of 73264000 is about 8559.4392339685. The cubic root of 73264000 is about 418.4371242743.

The spelling of 73264000 in words is "seventy-three million, two hundred sixty-four thousand".