16414272 has 224 divisors, whose sum is σ = 58521600. Its totient is φ = 4409856.

The previous prime is 16414247. The next prime is 16414291. The reversal of 16414272 is 27241461.

16414272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278179 + ... + 278237.

Almost surely, 2^16414272 is an apocalyptic number.

16414272 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 16414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29260800).

16414272 is an abundant number, since it is smaller than the sum of its proper divisors (42107328).

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

16414272 is a wasteful number, since it uses less digits than its factorization.

16414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 16414272 is about 4051.4530726642. The cubic root of 16414272 is about 254.1404972190.

The spelling of 16414272 in words is "sixteen million, four hundred fourteen thousand, two hundred seventy-two".