72384648 has 32 divisors (see below), whose sum is σ = 206813760. Its totient is φ = 20681280.

The previous prime is 72384643. The next prime is 72384673. The reversal of 72384648 is 84648327.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72384643) 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, 215263 + ... + 215598.

It is an arithmetic number, because the mean of its divisors is an integer number (6462930).

Almost surely, 2^72384648 is an apocalyptic number.

It is an amenable number.

72384648 is an abundant number, since it is smaller than the sum of its proper divisors (134429112).

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

72384648 is a wasteful number, since it uses less digits than its factorization.

72384648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430877 (or 430873 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 72384648 is about 8507.9167837961. The cubic root of 72384648 is about 416.7562826619.

The spelling of 72384648 in words is "seventy-two million, three hundred eighty-four thousand, six hundred forty-eight".