67257472 has 32 divisors (see below), whose sum is σ = 135395820. Its totient is φ = 33275904.

The previous prime is 67257439. The next prime is 67257503. The reversal of 67257472 is 27475276.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 4910656 = 7896^2 + 2216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9708 + ... + 15124.

Almost surely, 2^67257472 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 67257472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67697910).

67257472 is an abundant number, since it is smaller than the sum of its proper divisors (68138348).

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

67257472 is an equidigital number, since it uses as much as digits as its factorization.

67257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5516 counting only the distinct ones).

The product of its digits is 164640, while the sum is 40.

The square root of 67257472 is about 8201.0652966551. The cubic root of 67257472 is about 406.6744111517.

The spelling of 67257472 in words is "sixty-seven million, two hundred fifty-seven thousand, four hundred seventy-two".