72137113 has 4 divisors (see below), whose sum is σ = 72199888. Its totient is φ = 72074340.

The previous prime is 72137111. The next prime is 72137141. The reversal of 72137113 is 31173127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31173127 = 263 ⋅118529.

It is a cyclic number.

It is not a de Polignac number, because 72137113 - 2¹ = 72137111 is a prime.

It is a super-3 number, since 3×72137113³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72137111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29631 + ... + 31972.

It is an arithmetic number, because the mean of its divisors is an integer number (18049972).

Almost surely, 2^72137113 is an apocalyptic number.

It is an amenable number.

72137113 is a deficient number, since it is larger than the sum of its proper divisors (62775).

72137113 is a wasteful number, since it uses less digits than its factorization.

72137113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62774.

The product of its digits is 882, while the sum is 25.

The square root of 72137113 is about 8493.3569923794. The cubic root of 72137113 is about 416.2806772775.

The spelling of 72137113 in words is "seventy-two million, one hundred thirty-seven thousand, one hundred thirteen".