72114 has 32 divisors (see below), whose sum is σ = 176256. Its totient is φ = 19200.

The previous prime is 72109. The next prime is 72139. The reversal of 72114 is 41127.

It is a junction number, because it is equal to n+sod(n) for n = 72093 and 72102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72114.

It is an unprimeable number.

72114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (5508).

2⁷²¹¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128).

72114 is an abundant number, since it is smaller than the sum of its proper divisors (104142).

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

72114 is a wasteful number, since it uses less digits than its factorization.

72114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130.

The product of its digits is 56, while the sum is 15.

The square root of 72114 is about 268.5404997389. The cubic root of 72114 is about 41.6236213235.

The spelling of 72114 in words is "seventy-two thousand, one hundred fourteen", and thus it is an iban number.