72663648 has 48 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 24112256.

The previous prime is 72663637. The next prime is 72663649. The reversal of 72663648 is 84636627.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72663649) 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, 21361 + ... + 24527.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^72663648 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 72663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

72663648 is an abundant number, since it is smaller than the sum of its proper divisors (118936992).

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

72663648 is a wasteful number, since it uses less digits than its factorization.

72663648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3411 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 72663648 is about 8524.2975077129. The cubic root of 72663648 is about 417.2910458320.

The spelling of 72663648 in words is "seventy-two million, six hundred sixty-three thousand, six hundred forty-eight".