67272740 has 48 divisors (see below), whose sum is σ = 150386544. Its totient is φ = 25190400.

The previous prime is 67272739. The next prime is 67272743. The reversal of 67272740 is 4727276.

It can be written as a sum of positive squares in 8 ways, for example, as 556516 + 66716224 = 746^2 + 8168^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67272740.

It is not an unprimeable number, because it can be changed into a prime (67272743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81530 + ... + 82350.

It is an arithmetic number, because the mean of its divisors is an integer number (3133053).

Almost surely, 2^67272740 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 67272740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75193272).

67272740 is an abundant number, since it is smaller than the sum of its proper divisors (83113804).

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

67272740 is a wasteful number, since it uses less digits than its factorization.

67272740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 35.

The square root of 67272740 is about 8201.9960985116. The cubic root of 67272740 is about 406.7051816369.

The spelling of 67272740 in words is "sixty-seven million, two hundred seventy-two thousand, seven hundred forty".