72573648 has 80 divisors (see below), whose sum is σ = 223604736. Its totient is φ = 19831680.

The previous prime is 72573647. The next prime is 72573659. The reversal of 72573648 is 84637527.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72573643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3033 + ... + 12423.

Almost surely, 2^72573648 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 72573648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111802368).

72573648 is an abundant number, since it is smaller than the sum of its proper divisors (151031088).

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

72573648 is a wasteful number, since it uses less digits than its factorization.

72573648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9426 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 72573648 is about 8519.0168446834. The cubic root of 72573648 is about 417.1186913772.

The spelling of 72573648 in words is "seventy-two million, five hundred seventy-three thousand, six hundred forty-eight".