72113313 has 8 divisors (see below), whose sum is σ = 96206400. Its totient is φ = 48047888.

The previous prime is 72113299. The next prime is 72113317. The reversal of 72113313 is 31331127.

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 72113313 - 2⁴ = 72113297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72113313.

It is not an unprimeable number, because it can be changed into a prime (72113317) 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, 223 + ... + 12011.

It is an arithmetic number, because the mean of its divisors is an integer number (12025800).

Almost surely, 2^72113313 is an apocalyptic number.

It is an amenable number.

72113313 is a deficient number, since it is larger than the sum of its proper divisors (24093087).

72113313 is a wasteful number, since it uses less digits than its factorization.

72113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13831.

The product of its digits is 378, while the sum is 21.

The square root of 72113313 is about 8491.9557817973. The cubic root of 72113313 is about 416.2348914607.

The spelling of 72113313 in words is "seventy-two million, one hundred thirteen thousand, three hundred thirteen".