72648576 has 480 divisors, whose sum is σ = 295467480. Its totient is φ = 17418240.

The previous prime is 72648557. The next prime is 72648581. The reversal of 72648576 is 67584627.

72648576 is a `hidden beast` number, since 72 + 6 + 4 + 8 + 576 = 666.

Its product of digits (564480) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5588346 + ... + 5588358.

Almost surely, 2^72648576 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 72648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147733740).

72648576 is an abundant number, since it is smaller than the sum of its proper divisors (222818904).

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

72648576 is a wasteful number, since it uses less digits than its factorization.

72648576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 72648576 is about 8523.4134007450. The cubic root of 72648576 is about 417.2621921309.

The spelling of 72648576 in words is "seventy-two million, six hundred forty-eight thousand, five hundred seventy-six".