72829584 has 120 divisors (see below), whose sum is σ = 221101920. Its totient is φ = 22949568.

The previous prime is 72829583. The next prime is 72829597. The reversal of 72829584 is 48592827.

It is a super-2 number, since 2×72829584² = 10608296611226112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72829583) 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 23 ways as a sum of consecutive naturals, for example, 155719 + ... + 156185.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^72829584 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 72829584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110550960).

72829584 is an abundant number, since it is smaller than the sum of its proper divisors (148272336).

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

72829584 is a wasteful number, since it uses less digits than its factorization.

72829584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 491 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 72829584 is about 8534.0250761291. The cubic root of 72829584 is about 417.6084487655.

The spelling of 72829584 in words is "seventy-two million, eight hundred twenty-nine thousand, five hundred eighty-four".