72368352 has 72 divisors (see below), whose sum is σ = 235203696. Its totient is φ = 20676096.

The previous prime is 72368323. The next prime is 72368377. The reversal of 72368352 is 25386327.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15933 + ... + 19964.

It is an arithmetic number, because the mean of its divisors is an integer number (3266718).

Almost surely, 2^72368352 is an apocalyptic number.

72368352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72368352 is an abundant number, since it is smaller than the sum of its proper divisors (162835344).

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

72368352 is a wasteful number, since it uses less digits than its factorization.

72368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35920 (or 35909 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72368352 is about 8506.9590336383. The cubic root of 72368352 is about 416.7250054492.

The spelling of 72368352 in words is "seventy-two million, three hundred sixty-eight thousand, three hundred fifty-two".