67335072 has 96 divisors (see below), whose sum is σ = 204285312. Its totient is φ = 19021824.

The previous prime is 67335049. The next prime is 67335083. The reversal of 67335072 is 27053376.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64668 + ... + 65700.

It is an arithmetic number, because the mean of its divisors is an integer number (2127972).

Almost surely, 2^67335072 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 67335072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102142656).

67335072 is an abundant number, since it is smaller than the sum of its proper divisors (136950240).

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

67335072 is a wasteful number, since it uses less digits than its factorization.

67335072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 67335072 is about 8205.7950254683. The cubic root of 67335072 is about 406.8307546490.

The spelling of 67335072 in words is "sixty-seven million, three hundred thirty-five thousand, seventy-two".