67385376 has 72 divisors (see below), whose sum is σ = 194004720. Its totient is φ = 22183296.

The previous prime is 67385369. The next prime is 67385387. The reversal of 67385376 is 67358376.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×67385376² = 9081577797322752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22495 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (2694510).

Almost surely, 2^67385376 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 67385376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97002360).

67385376 is an abundant number, since it is smaller than the sum of its proper divisors (126619344).

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

67385376 is a wasteful number, since it uses less digits than its factorization.

67385376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2907 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 67385376 is about 8208.8596041107. The cubic root of 67385376 is about 406.9320397568.

Subtracting from 67385376 its reverse (67358376), we obtain a cube (27000 = 30³).

The spelling of 67385376 in words is "sixty-seven million, three hundred eighty-five thousand, three hundred seventy-six".