67072320 has 224 divisors, whose sum is σ = 270662400. Its totient is φ = 15316992.

The previous prime is 67072309. The next prime is 67072339. The reversal of 67072320 is 2327076.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×67072320² = 8997392220364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59926 + ... + 61034.

Almost surely, 2^67072320 is an apocalyptic number.

67072320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331200).

67072320 is an abundant number, since it is smaller than the sum of its proper divisors (203590080).

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

67072320 is a wasteful number, since it uses less digits than its factorization.

67072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 67072320 is about 8189.7692275180. The cubic root of 67072320 is about 406.3008924014.

Adding to 67072320 its reverse (2327076), we get a palindrome (69399396).

The spelling of 67072320 in words is "sixty-seven million, seventy-two thousand, three hundred twenty".