72824576 has 54 divisors (see below), whose sum is σ = 159848976. Its totient is φ = 33088000.

The previous prime is 72824567. The next prime is 72824579. The reversal of 72824576 is 67542827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72824579) 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 5 ways as a sum of consecutive naturals, for example, 29801 + ... + 32151.

Almost surely, 2^72824576 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 72824576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79924488).

72824576 is an abundant number, since it is smaller than the sum of its proper divisors (87024400).

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

72824576 is a wasteful number, since it uses less digits than its factorization.

72824576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2364 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 72824576 is about 8533.7316573701. The cubic root of 72824576 is about 417.5988765059.

The spelling of 72824576 in words is "seventy-two million, eight hundred twenty-four thousand, five hundred seventy-six".