72439584 has 144 divisors (see below), whose sum is σ = 231473088. Its totient is φ = 19427328.

The previous prime is 72439573. The next prime is 72439589. The reversal of 72439584 is 48593427.

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

It is not an unprimeable number, because it can be changed into a prime (72439589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194022 + ... + 194394.

It is an arithmetic number, because the mean of its divisors is an integer number (1607452).

Almost surely, 2^72439584 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 72439584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115736544).

72439584 is an abundant number, since it is smaller than the sum of its proper divisors (159033504).

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

72439584 is a wasteful number, since it uses less digits than its factorization.

72439584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 72439584 is about 8511.1446938705. The cubic root of 72439584 is about 416.8616877638.

The spelling of 72439584 in words is "seventy-two million, four hundred thirty-nine thousand, five hundred eighty-four".