67269072 has 80 divisors (see below), whose sum is σ = 190057280. Its totient is φ = 20376576.

The previous prime is 67269047. The next prime is 67269077. The reversal of 67269072 is 27096276.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 67269072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67269077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41004 + ... + 42612.

It is an arithmetic number, because the mean of its divisors is an integer number (2375716).

Almost surely, 2^67269072 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 67269072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95028640).

67269072 is an abundant number, since it is smaller than the sum of its proper divisors (122788208).

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

67269072 is a wasteful number, since it uses less digits than its factorization.

67269072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 67269072 is about 8201.7724913582. The cubic root of 67269072 is about 406.6977897289.

The spelling of 67269072 in words is "sixty-seven million, two hundred sixty-nine thousand, seventy-two".