72353684 has 24 divisors (see below), whose sum is σ = 139688808. Its totient is φ = 32578560.

The previous prime is 72353669. The next prime is 72353693. The reversal of 72353684 is 48635327.

It can be written as a sum of positive squares in 4 ways, for example, as 4752400 + 67601284 = 2180^2 + 8222^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14837 + ... + 19100.

It is an arithmetic number, because the mean of its divisors is an integer number (5820367).

Almost surely, 2^72353684 is an apocalyptic number.

It is an amenable number.

72353684 is a deficient number, since it is larger than the sum of its proper divisors (67335124).

72353684 is a wasteful number, since it uses less digits than its factorization.

72353684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33995 (or 33993 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 72353684 is about 8506.0968722440. The cubic root of 72353684 is about 416.6968488714.

It can be divided in two parts, 72353 and 684, that added together give a palindrome (73037).

The spelling of 72353684 in words is "seventy-two million, three hundred fifty-three thousand, six hundred eighty-four".