72364013 has 8 divisors (see below), whose sum is σ = 75161856. Its totient is φ = 69595200.

The previous prime is 72364001. The next prime is 72364051. The reversal of 72364013 is 31046327.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72364013 - 2²⁶ = 5255149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72364073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2108 + ... + 12213.

It is an arithmetic number, because the mean of its divisors is an integer number (9395232).

Almost surely, 2^72364013 is an apocalyptic number.

It is an amenable number.

72364013 is a deficient number, since it is larger than the sum of its proper divisors (2797843).

72364013 is a wasteful number, since it uses less digits than its factorization.

72364013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14515.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 72364013 is about 8506.7040033141. The cubic root of 72364013 is about 416.7166767351.

The spelling of 72364013 in words is "seventy-two million, three hundred sixty-four thousand, thirteen".