72595648 has 28 divisors (see below), whose sum is σ = 145417032. Its totient is φ = 35955200.

The previous prime is 72595597. The next prime is 72595681. The reversal of 72595648 is 84659527.

It is a junction number, because it is equal to n+sod(n) for n = 72595598 and 72595607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1548 + ... + 12148.

Almost surely, 2^72595648 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 72595648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72708516).

72595648 is an abundant number, since it is smaller than the sum of its proper divisors (72821384).

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

72595648 is a wasteful number, since it uses less digits than its factorization.

72595648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 10710 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 72595648 is about 8520.3079756544. The cubic root of 72595648 is about 417.1608356190.

The spelling of 72595648 in words is "seventy-two million, five hundred ninety-five thousand, six hundred forty-eight".