72368064 has 42 divisors (see below), whose sum is σ = 207431640. Its totient is φ = 24122496.

The previous prime is 72368063. The next prime is 72368077. The reversal of 72368064 is 46086327.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72368063) 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 5 ways as a sum of consecutive naturals, for example, 62244 + ... + 63395.

Almost surely, 2^72368064 is an apocalyptic number.

It is an amenable number.

72368064 is an abundant number, since it is smaller than the sum of its proper divisors (135063576).

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

72368064 is a wasteful number, since it uses less digits than its factorization.

72368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125657 (or 125644 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72368064 is about 8506.9421063035. The cubic root of 72368064 is about 416.7244526433.

The spelling of 72368064 in words is "seventy-two million, three hundred sixty-eight thousand, sixty-four".