73763648 has 56 divisors (see below), whose sum is σ = 168249600. Its totient is φ = 31431168.

The previous prime is 73763647. The next prime is 73763671. The reversal of 73763648 is 84636737.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 73763599 and 73763608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73763647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102233 + ... + 102951.

Almost surely, 2^73763648 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 73763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84124800).

73763648 is an abundant number, since it is smaller than the sum of its proper divisors (94485952).

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

73763648 is a wasteful number, since it uses less digits than its factorization.

73763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The square root of 73763648 is about 8588.5765991810. The cubic root of 73763648 is about 419.3861933398.

The spelling of 73763648 in words is "seventy-three million, seven hundred sixty-three thousand, six hundred forty-eight".