67952 has 20 divisors (see below), whose sum is σ = 136896. Its totient is φ = 32640.

The previous prime is 67943. The next prime is 67957. The reversal of 67952 is 25976.

67952 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67957) by changing a digit.

67952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428 + ... + 564.

2⁶⁷⁹⁵² is an apocalyptic number.

67952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68448).

67952 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

67952 is a wasteful number, since it uses less digits than its factorization.

67952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 67952 is about 260.6760441621. The cubic root of 67952 is about 40.8069448642.

The spelling of 67952 in words is "sixty-seven thousand, nine hundred fifty-two".