67615872 has 64 divisors (see below), whose sum is σ = 184497600. Its totient is φ = 21924864.

The previous prime is 67615871. The next prime is 67615879. The reversal of 67615872 is 27851676.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×67615872² = 9143812292640768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67615871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11829 + ... + 16587.

It is an arithmetic number, because the mean of its divisors is an integer number (2882775).

Almost surely, 2^67615872 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 67615872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92248800).

67615872 is an abundant number, since it is smaller than the sum of its proper divisors (116881728).

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

67615872 is a wasteful number, since it uses less digits than its factorization.

67615872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4801 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 67615872 is about 8222.8870842302. The cubic root of 67615872 is about 407.3954907826.

The spelling of 67615872 in words is "sixty-seven million, six hundred fifteen thousand, eight hundred seventy-two".