73467768 has 128 divisors (see below), whose sum is σ = 212336640. Its totient is φ = 20976000.

The previous prime is 73467749. The next prime is 73467781. The reversal of 73467768 is 86776437.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384553 + ... + 384743.

It is an arithmetic number, because the mean of its divisors is an integer number (1658880).

Almost surely, 2^73467768 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 73467768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106168320).

73467768 is an abundant number, since it is smaller than the sum of its proper divisors (138868872).

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

73467768 is a wasteful number, since it uses less digits than its factorization.

73467768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 48.

The square root of 73467768 is about 8571.3340851935. The cubic root of 73467768 is about 418.8246960238.

The spelling of 73467768 in words is "seventy-three million, four hundred sixty-seven thousand, seven hundred sixty-eight".