73468000 has 48 divisors (see below), whose sum is σ = 180520704. Its totient is φ = 29385600.

The previous prime is 73467983. The next prime is 73468001. The reversal of 73468000 is 86437.

It is a self number, because there is not a number n which added to its sum of digits gives 73468000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73468001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5184 + ... + 13183.

It is an arithmetic number, because the mean of its divisors is an integer number (3760848).

Almost surely, 2^73468000 is an apocalyptic number.

It is an amenable number.

73468000 is an abundant number, since it is smaller than the sum of its proper divisors (107052704).

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

73468000 is a wasteful number, since it uses less digits than its factorization.

73468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18392 (or 18374 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 73468000 is about 8571.3476186653. The cubic root of 73468000 is about 418.8251368848.

The spelling of 73468000 in words is "seventy-three million, four hundred sixty-eight thousand".