72134117 has 16 divisors (see below), whose sum is σ = 81715200. Its totient is φ = 63082800.

The previous prime is 72134081. The next prime is 72134119. The reversal of 72134117 is 71143127.

It is a happy number.

It is not a de Polignac number, because 72134117 - 2¹² = 72130021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72134119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67328 + ... + 68390.

It is an arithmetic number, because the mean of its divisors is an integer number (5107200).

Almost surely, 2^72134117 is an apocalyptic number.

It is an amenable number.

72134117 is a deficient number, since it is larger than the sum of its proper divisors (9581083).

72134117 is a wasteful number, since it uses less digits than its factorization.

72134117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304.

The product of its digits is 1176, while the sum is 26.

The square root of 72134117 is about 8493.1806174130. The cubic root of 72134117 is about 416.2749142052.

The spelling of 72134117 in words is "seventy-two million, one hundred thirty-four thousand, one hundred seventeen".