67152640 has 72 divisors (see below), whose sum is σ = 167918688. Its totient is φ = 25681920.

The previous prime is 67152637. The next prime is 67152653. The reversal of 67152640 is 4625176.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28300 + ... + 30580.

It is an arithmetic number, because the mean of its divisors is an integer number (2332204).

Almost surely, 2^67152640 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 67152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83959344).

67152640 is an abundant number, since it is smaller than the sum of its proper divisors (100766048).

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

67152640 is a wasteful number, since it uses less digits than its factorization.

67152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 67152640 is about 8194.6714394172. The cubic root of 67152640 is about 406.4630112891.

The spelling of 67152640 in words is "sixty-seven million, one hundred fifty-two thousand, six hundred forty".