67745120 has 96 divisors (see below), whose sum is σ = 171460800. Its totient is φ = 25231360.

The previous prime is 67745087. The next prime is 67745129. The reversal of 67745120 is 2154776.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67745129) 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, 150656 + ... + 151104.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 2^67745120 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 67745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85730400).

67745120 is an abundant number, since it is smaller than the sum of its proper divisors (103715680).

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

67745120 is a wasteful number, since it uses less digits than its factorization.

67745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 67745120 is about 8230.7423723501. The cubic root of 67745120 is about 407.6549049127.

Adding to 67745120 its reverse (2154776), we get a palindrome (69899896).

The spelling of 67745120 in words is "sixty-seven million, seven hundred forty-five thousand, one hundred twenty".