73768896 has 84 divisors (see below), whose sum is σ = 213969600. Its totient is φ = 24296448.

The previous prime is 73768879. The next prime is 73768901. The reversal of 73768896 is 69886737.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 50545 + ... + 51983.

Almost surely, 2^73768896 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 73768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106984800).

73768896 is an abundant number, since it is smaller than the sum of its proper divisors (140200704).

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

73768896 is a wasteful number, since it uses less digits than its factorization.

73768896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1533 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 73768896 is about 8588.8821158519. The cubic root of 73768896 is about 419.3961390091.

The spelling of 73768896 in words is "seventy-three million, seven hundred sixty-eight thousand, eight hundred ninety-six".