67354272 has 72 divisors (see below), whose sum is σ = 202820436. Its totient is φ = 21129216.

The previous prime is 67354271. The next prime is 67354277. The reversal of 67354272 is 27245376.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65999376 + 1354896 = 8124^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67354271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1983 + ... + 11774.

Almost surely, 2^67354272 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 67354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101410218).

67354272 is an abundant number, since it is smaller than the sum of its proper divisors (135466164).

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

67354272 is a wasteful number, since it uses less digits than its factorization.

67354272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13790 (or 13779 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 67354272 is about 8206.9648470065. The cubic root of 67354272 is about 406.8694190376.

It can be divided in two parts, 673 and 54272, that added together give a palindrome (54945).

The spelling of 67354272 in words is "sixty-seven million, three hundred fifty-four thousand, two hundred seventy-two".