72539064 has 160 divisors (see below), whose sum is σ = 223608000. Its totient is φ = 21835008.

The previous prime is 72539053. The next prime is 72539069. The reversal of 72539064 is 46093527.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72539069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 665442 + ... + 665550.

It is an arithmetic number, because the mean of its divisors is an integer number (1397550).

Almost surely, 2^72539064 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 72539064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111804000).

72539064 is an abundant number, since it is smaller than the sum of its proper divisors (151068936).

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

72539064 is a wasteful number, since it uses less digits than its factorization.

72539064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 72539064 is about 8516.9867911134. The cubic root of 72539064 is about 417.0524234077.

The spelling of 72539064 in words is "seventy-two million, five hundred thirty-nine thousand, sixty-four".