72414 has 24 divisors (see below), whose sum is σ = 163800. Its totient is φ = 23976.

The previous prime is 72383. The next prime is 72421. The reversal of 72414 is 41427.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2⁷²⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

72414 is an abundant number, since it is smaller than the sum of its proper divisors (91386).

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

72414 is a wasteful number, since it uses less digits than its factorization.

72414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 224, while the sum is 18.

The square root of 72414 is about 269.0984949791. The cubic root of 72414 is about 41.6812606655.

The spelling of 72414 in words is "seventy-two thousand, four hundred fourteen", and thus it is an iban number.