73563648 has 80 divisors (see below), whose sum is σ = 200344320. Its totient is φ = 23975936.

The previous prime is 73563631. The next prime is 73563661. The reversal of 73563648 is 84636537.

It is a super-2 number, since 2×73563648² = 10823220614135808, which contains 22 as substring.

It is a congruent number.

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, 71683 + ... + 72701.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^73563648 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 73563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100172160).

73563648 is an abundant number, since it is smaller than the sum of its proper divisors (126780672).

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

73563648 is a wasteful number, since it uses less digits than its factorization.

73563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1071 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 73563648 is about 8576.9253232146. The cubic root of 73563648 is about 419.0068142348.

The spelling of 73563648 in words is "seventy-three million, five hundred sixty-three thousand, six hundred forty-eight".