72067968 has 192 divisors, whose sum is σ = 246529920. Its totient is φ = 20528640.

The previous prime is 72067949. The next prime is 72067973. The reversal of 72067968 is 86976027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217563 + ... + 217893.

It is an arithmetic number, because the mean of its divisors is an integer number (1284010).

Almost surely, 2^72067968 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 72067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123264960).

72067968 is an abundant number, since it is smaller than the sum of its proper divisors (174461952).

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

72067968 is an equidigital number, since it uses as much as digits as its factorization.

72067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72067968 is about 8489.2854823006. The cubic root of 72067968 is about 416.1476300486.

The spelling of 72067968 in words is "seventy-two million, sixty-seven thousand, nine hundred sixty-eight".