14346072 has 120 divisors (see below), whose sum is σ = 43843140. Its totient is φ = 4380480.

The previous prime is 14346067. The next prime is 14346077. The reversal of 14346072 is 27064341.

It is an interprime number because it is at equal distance from previous prime (14346067) and next prime (14346077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346077) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 109447 + ... + 109577.

It is a vampire number, since it can be written as 3042 ⋅ 4716 (with its own digits).

Almost surely, 2^14346072 is an apocalyptic number.

14346072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14346072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921570).

14346072 is an abundant number, since it is smaller than the sum of its proper divisors (29497068).

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

14346072 is a wasteful number, since it uses less digits than its factorization.

14346072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14346072 is about 3787.6208891598. The cubic root of 14346072 is about 242.9839952879.

The spelling of 14346072 in words is "fourteen million, three hundred forty-six thousand, seventy-two".