73563168 has 48 divisors (see below), whose sum is σ = 220691520. Its totient is φ = 21017856.

The previous prime is 73563157. The next prime is 73563173. The reversal of 73563168 is 86136537.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54063 + ... + 55406.

It is an arithmetic number, because the mean of its divisors is an integer number (4597740).

Almost surely, 2^73563168 is an apocalyptic number.

It is an amenable number.

73563168 is an abundant number, since it is smaller than the sum of its proper divisors (147128352).

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

73563168 is a wasteful number, since it uses less digits than its factorization.

73563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109489 (or 109481 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 73563168 is about 8576.8973411135. The cubic root of 73563168 is about 419.0059028983.

It can be divided in two parts, 735 and 63168, that added together give a triangular number (63903 = T₃₅₇).

The spelling of 73563168 in words is "seventy-three million, five hundred sixty-three thousand, one hundred sixty-eight".