67228720 has 80 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 24579072.

The previous prime is 67228717. The next prime is 67228723. The reversal of 67228720 is 2782276.

It is an interprime number because it is at equal distance from previous prime (67228717) and next prime (67228723).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (67228723) 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, 131826 + ... + 132334.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^67228720 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 67228720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

67228720 is an abundant number, since it is smaller than the sum of its proper divisors (102760400).

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

67228720 is a wasteful number, since it uses less digits than its factorization.

67228720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 67228720 is about 8199.3121662735. The cubic root of 67228720 is about 406.6164529359.

It can be divided in two parts, 672 and 28720, that added together give a palindrome (29392).

The spelling of 67228720 in words is "sixty-seven million, two hundred twenty-eight thousand, seven hundred twenty".