72806824 has 32 divisors (see below), whose sum is σ = 140958720. Its totient is φ = 35228736.

The previous prime is 72806821. The next prime is 72806831. The reversal of 72806824 is 42860827.

72806824 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (72806821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65457 + ... + 66559.

It is an arithmetic number, because the mean of its divisors is an integer number (4404960).

Almost surely, 2^72806824 is an apocalyptic number.

72806824 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

72806824 is a deficient number, since it is larger than the sum of its proper divisors (68151896).

72806824 is a wasteful number, since it uses less digits than its factorization.

72806824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 72806824 is about 8532.6914862779. The cubic root of 72806824 is about 417.5649419099.

The spelling of 72806824 in words is "seventy-two million, eight hundred six thousand, eight hundred twenty-four".