72643368 has 32 divisors (see below), whose sum is σ = 207552960. Its totient is φ = 20755200.

The previous prime is 72643367. The next prime is 72643369. The reversal of 72643368 is 86334627.

It is an interprime number because it is at equal distance from previous prime (72643367) and next prime (72643369).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72643367) 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 7 ways as a sum of consecutive naturals, for example, 216033 + ... + 216368.

It is an arithmetic number, because the mean of its divisors is an integer number (6486030).

Almost surely, 2^72643368 is an apocalyptic number.

It is an amenable number.

72643368 is an abundant number, since it is smaller than the sum of its proper divisors (134909592).

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

72643368 is a wasteful number, since it uses less digits than its factorization.

72643368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432417 (or 432413 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 72643368 is about 8523.1078838649. The cubic root of 72643368 is about 417.2522210548.

The spelling of 72643368 in words is "seventy-two million, six hundred forty-three thousand, three hundred sixty-eight".