67414272 has 72 divisors (see below), whose sum is σ = 182488320. Its totient is φ = 22087680.

The previous prime is 67414271. The next prime is 67414273. The reversal of 67414272 is 27241476.

It is an interprime number because it is at equal distance from previous prime (67414271) and next prime (67414273).

It is not an unprimeable number, because it can be changed into a prime (67414271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46129 + ... + 47567.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 2^67414272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91244160).

67414272 is an abundant number, since it is smaller than the sum of its proper divisors (115074048).

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

67414272 is a wasteful number, since it uses less digits than its factorization.

67414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1505 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 67414272 is about 8210.6194650587. The cubic root of 67414272 is about 406.9901979138.

The spelling of 67414272 in words is "sixty-seven million, four hundred fourteen thousand, two hundred seventy-two".