73587648 has 56 divisors (see below), whose sum is σ = 195348352. Its totient is φ = 24447744.

The previous prime is 73587637. The next prime is 73587653. The reversal of 73587648 is 84678537.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 73587597 and 73587606.

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, 93111 + ... + 93897.

Almost surely, 2^73587648 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 73587648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97674176).

73587648 is an abundant number, since it is smaller than the sum of its proper divisors (121760704).

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

73587648 is a wasteful number, since it uses less digits than its factorization.

73587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1279 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 73587648 is about 8578.3243118922. The cubic root of 73587648 is about 419.0523760053.

The spelling of 73587648 in words is "seventy-three million, five hundred eighty-seven thousand, six hundred forty-eight".