72041684 has 96 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 28224000.

The previous prime is 72041677. The next prime is 72041687. The reversal of 72041684 is 48614027.

It is a self number, because there is not a number n which added to its sum of digits gives 72041684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72041687) 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 31 ways as a sum of consecutive naturals, for example, 713234 + ... + 713334.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 2^72041684 is an apocalyptic number.

It is an amenable number.

72041684 is an abundant number, since it is smaller than the sum of its proper divisors (86294956).

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

72041684 is a wasteful number, since it uses less digits than its factorization.

72041684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 72041684 is about 8487.7372720885. The cubic root of 72041684 is about 416.0970326537.

It can be divided in two parts, 7204 and 1684, that added together give a palindrome (8888).

The spelling of 72041684 in words is "seventy-two million, forty-one thousand, six hundred eighty-four".