67152 has 20 divisors (see below), whose sum is σ = 173600. Its totient is φ = 22368.

The previous prime is 67141. The next prime is 67153. The reversal of 67152 is 25176.

It is a super-2 number, since 2×67152² = 9018782208, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67152.

It is not an unprimeable number, because it can be changed into a prime (67153) by changing a digit.

67152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 652 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2⁶⁷¹⁵² is an apocalyptic number.

It is an amenable number.

67152 is an abundant number, since it is smaller than the sum of its proper divisors (106448).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800).

67152 is a wasteful number, since it uses less digits than its factorization.

67152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1404 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 67152 is about 259.1370293879. The cubic root of 67152 is about 40.6461720016.

The spelling of 67152 in words is "sixty-seven thousand, one hundred fifty-two".